Cremona's table of elliptic curves

11830 = 2 · 5 · 7 · 13²

Field	Data	Notes
Atkin-Lehner	2- 5+ 7- 13+	Signs for the Atkin-Lehner involutions
Class	11830q	Isogeny class
Conductor	11830	Conductor
∏ cp	162	Product of Tamagawa factors cp
deg	134784	Modular degree for the optimal curve
Δ	-366733737725788160 = -1 · 218 · 5 · 73 · 138	Discriminant
Eigenvalues	2-  1 5+ 7-  0 13+ -3 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,69709,28267745]	[a1,a2,a3,a4,a6]
Generators	[206:7065:1]	Generators of the group modulo torsion
j	45924354671/449576960	j-invariant
L	7.6271701914783	L(r)(E,1)/r!
Ω	0.22171386963389	Real period
R	1.9111645022661	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	94640bq1 106470cs1 59150a1 82810cm1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11830q1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	1	+	-	0	+	-3	-4	6	-3	-4	2	12	2	-3	0	-6	-10	2	-9	-13	11	-15	-12	17

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Quadratic twists for elliptic curve 11830q1

-4	-3	5	-7	13
94640bq1	106470cs1	59150a1	82810cm1	11830f1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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