Cremona's table of elliptic curves

434 = 2 · 7 · 31

Field	Data	Notes
Atkin-Lehner	2- 7- 31-	Signs for the Atkin-Lehner involutions
Class	434b	Isogeny class
Conductor	434	Conductor
∏ cp	27	Product of Tamagawa factors cp
Δ	-81746504 = -1 · 23 · 73 · 313	Discriminant
Eigenvalues	2-  1  3 7-  0 -4 -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,36,-424]	[a1,a2,a3,a4,a6]
j	5150827583/81746504	j-invariant
L	2.8187709466297	L(r)(E,1)/r!
Ω	0.93959031554322	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	3472d2 13888k2 3906l2 10850h2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 434b2

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
-	1	3	-	0	-4	-6	2	-3	3	-	2	12	-10	3	6	0	8	-13	-12	11	-1	-9	-9	8

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Quadratic twists for elliptic curve 434b2

-4	8	-3	5	-7	-11	13	17	-31
3472d2	13888k2	3906l2	10850h2	3038h2	52514e2	73346d2	125426l2	13454g2

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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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