Cremona's table of elliptic curves

930 = 2 · 3 · 5 · 31

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 31+	Signs for the Atkin-Lehner involutions
Class	930l	Isogeny class
Conductor	930	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	4680	Modular degree for the optimal curve
Δ	-8173828125000 = -1 · 23 · 33 · 513 · 31	Discriminant
Eigenvalues	2- 3+ 5+  3  5 -6 -4  5	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-23051,1344449]	[a1,a2,a3,a4,a6]
j	-1354547383894636849/8173828125000	j-invariant
L	2.2233457811901	L(r)(E,1)/r!
Ω	0.74111526039669	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	7440w1 29760bi1 2790j1 4650q1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 930l1

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
-	+	+	3	5	-6	-4	5	5	8	+	4	0	-7	6	11	14	-6	10	-9	-3	-7	-12	-9	10

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Quadratic twists for elliptic curve 930l1

-4	8	-3	5	-7	-11	-31
7440w1	29760bi1	2790j1	4650q1	45570dk1	112530f1	28830bl1

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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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