Cremona's table of elliptic curves

11730 = 2 · 3 · 5 · 17 · 23

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 17+ 23+	Signs for the Atkin-Lehner involutions
Class	11730l	Isogeny class
Conductor	11730	Conductor
∏ cp	108	Product of Tamagawa factors cp
deg	22464	Modular degree for the optimal curve
Δ	-12313684800 = -1 · 26 · 39 · 52 · 17 · 23	Discriminant
Eigenvalues	2- 3- 5+ -4 -3  5 17+ -1	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-3741,87921]	[a1,a2,a3,a4,a6]
Generators	[-24:417:1]	Generators of the group modulo torsion
j	-5790207030877009/12313684800	j-invariant
L	6.9127035118759	L(r)(E,1)/r!
Ω	1.2689505407032	Real period
R	0.45396460107141	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	93840bh1 35190ba1 58650k1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 11730l1

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
-	-	+	-4	-3	5	+	-1	+	9	5	-10	-9	8	3	-9	-3	-7	-7	12	-16	-10	0	15	17

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Quadratic twists for elliptic curve 11730l1

-4	-3	5
93840bh1	35190ba1	58650k1

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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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