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	930o	Isogeny class
Conductor	930	Conductor
∏ cp	256	Product of Tamagawa factors cp
Δ	1271193750000 = 24 · 38 · 58 · 31	Discriminant
Eigenvalues	2- 3- 5-  0 -4  6  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-3700,67232]	[a1,a2,a3,a4,a6]
j	5601911201812801/1271193750000	j-invariant
L	3.2437784816204	L(r)(E,1)/r!
Ω	0.81094462040509	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	8	Number of elements in the torsion subgroup
Twists	7440o3 29760b3 2790g3 4650a4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 930o4

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	6	2	4	-8	6	+	-2	10	-4	0	-10	-12	-2	-4	0	2	0	4	-14	18

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Quadratic twists for elliptic curve 930o4

-4	8	-3	5	-7	-11	-31
7440o3	29760b3	2790g3	4650a4	45570bu3	112530bd3	28830bd3

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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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