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	11830f	Isogeny class
Conductor	11830	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	10368	Modular degree for the optimal curve
Δ	-75978506240 = -1 · 218 · 5 · 73 · 132	Discriminant
Eigenvalues	2+  1 5- 7+  0 13+ -3  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,412,12898]	[a1,a2,a3,a4,a6]
j	45924354671/449576960	j-invariant
L	1.5988014508931	L(r)(E,1)/r!
Ω	0.79940072544654	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	94640cv1 106470dz1 59150bu1 82810i1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11830f1

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 11830f1

-4	-3	5	-7	13
94640cv1	106470dz1	59150bu1	82810i1	11830q1

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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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