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	930m	Isogeny class
Conductor	930	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	192	Modular degree for the optimal curve
Δ	-4017600 = -1 · 26 · 34 · 52 · 31	Discriminant
Eigenvalues	2- 3+ 5+  0 -6 -2 -4  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,39,39]	[a1,a2,a3,a4,a6]
Generators	[1:8:1]	Generators of the group modulo torsion
j	6549699311/4017600	j-invariant
L	2.7780796862491	L(r)(E,1)/r!
Ω	1.5250007887439	Real period
R	0.30361510922423	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	7440s1 29760bj1 2790k1 4650r1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 930m1

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	-6	-2	-4	0	2	-8	-	-6	-2	4	4	-6	0	4	-4	-8	-4	-4	0	-2	14

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Quadratic twists for elliptic curve 930m1

-4	8	-3	5	-7	-11	-31
7440s1	29760bj1	2790k1	4650r1	45570dh1	112530j1	28830bj1

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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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