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	930n	Isogeny class
Conductor	930	Conductor
∏ cp	72	Product of Tamagawa factors cp
Δ	1357352437500 = 22 · 36 · 56 · 313	Discriminant
Eigenvalues	2- 3- 5+  2  0 -4  6  8	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-635471,-195033699]	[a1,a2,a3,a4,a6]
j	28379906689597370652529/1357352437500	j-invariant
L	3.0436739229085	L(r)(E,1)/r!
Ω	0.16909299571714	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	7440i4 29760s4 2790l4 4650f4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 930n4

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

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Quadratic twists for elliptic curve 930n4

-4	8	-3	5	-7	-11	-31
7440i4	29760s4	2790l4	4650f4	45570cb4	112530bb4	28830z4

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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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