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	4	Product of Tamagawa factors cp
Δ	-51173462246460 = -1 · 22 · 3 · 5 · 318	Discriminant
Eigenvalues	2- 3- 5-  0 -4  6  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-18920,-1060740]	[a1,a2,a3,a4,a6]
j	-749011598724977281/51173462246460	j-invariant
L	3.2437784816204	L(r)(E,1)/r!
Ω	0.20273615510127	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	16	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	7440o6 29760b5 2790g6 4650a6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 930o6

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 930o6

-4	8	-3	5	-7	-11	-31
7440o6	29760b5	2790g6	4650a6	45570bu5	112530bd5	28830bd5

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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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