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	32	Product of Tamagawa factors cp
Δ	3324675600 = 24 · 32 · 52 · 314	Discriminant
Eigenvalues	2- 3- 5-  0 -4  6  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-19220,-1027200]	[a1,a2,a3,a4,a6]
j	785209010066844481/3324675600	j-invariant
L	3.2437784816204	L(r)(E,1)/r!
Ω	0.40547231020255	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	7440o4 29760b4 2790g4 4650a3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 930o3

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 930o3

-4	8	-3	5	-7	-11	-31
7440o4	29760b4	2790g4	4650a3	45570bu4	112530bd4	28830bd4

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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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