Cremona's table of elliptic curves

3534 = 2 · 3 · 19 · 31

Field	Data	Notes
Atkin-Lehner	2+ 3+ 19+ 31-	Signs for the Atkin-Lehner involutions
Class	3534a	Isogeny class
Conductor	3534	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	621029198016 = 26 · 312 · 19 · 312	Discriminant
Eigenvalues	2+ 3+  2  4 -2  4  6 19+	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-6014,172980]	[a1,a2,a3,a4,a6]
j	24061727981584873/621029198016	j-invariant
L	1.8225911058275	L(r)(E,1)/r!
Ω	0.91129555291374	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	28272k2 113088p2 10602g2 88350cq2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3534a2

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	4	-2	4	6	+	6	-8	-	8	6	6	0	-8	4	6	4	-16	6	-12	-6	-12	14

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Quadratic twists for elliptic curve 3534a2

-4	8	-3	5	-19	-31
28272k2	113088p2	10602g2	88350cq2	67146l2	109554j2

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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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