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	11830t	Isogeny class
Conductor	11830	Conductor
∏ cp	120	Product of Tamagawa factors cp
Δ	-3.1789070866784E+21	Discriminant
Eigenvalues	2-  0 5- 7+ -4 13+  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,2176688,-2415231789]	[a1,a2,a3,a4,a6]
Generators	[6241:501089:1]	Generators of the group modulo torsion
j	236293804275620391/658593925444000	j-invariant
L	6.7316514221506	L(r)(E,1)/r!
Ω	0.072867209054879	Real period
R	3.079415057181	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	94640cr3 106470be3 59150h3 82810bv3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11830t4

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
-	0	-	+	-4	+	2	4	8	-2	-4	-10	6	0	-8	2	-12	-2	4	-12	2	-8	-4	-2	-14

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Quadratic twists for elliptic curve 11830t4

-4	-3	5	-7	13
94640cr3	106470be3	59150h3	82810bv3	910a4

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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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