Cremona's table of elliptic curves

435 = 3 · 5 · 29

Field	Data	Notes
Atkin-Lehner	3- 5- 29-	Signs for the Atkin-Lehner involutions
Class	435d	Isogeny class
Conductor	435	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-3978455625 = -1 · 32 · 54 · 294	Discriminant
Eigenvalues	-1 3- 5- -4  0  6  2  8	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-390,-4275]	[a1,a2,a3,a4,a6]
j	-6561258219361/3978455625	j-invariant
L	1.0453865675879	L(r)(E,1)/r!
Ω	0.52269328379397	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	6960be4 27840i3 1305c4 2175b4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 435d4

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

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Quadratic twists for elliptic curve 435d4

-4	8	-3	5	-7	-11	13	17	29
6960be4	27840i3	1305c4	2175b4	21315f3	52635u3	73515h3	125715h3	12615b4

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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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