Cremona's table of elliptic curves

4025 = 5² · 7 · 23

Field	Data	Notes
Atkin-Lehner	5+ 7+ 23-	Signs for the Atkin-Lehner involutions
Class	4025a	Isogeny class
Conductor	4025	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	862859375 = 56 · 74 · 23	Discriminant
Eigenvalues	1  0 5+ 7+  4 -6  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-3092,66941]	[a1,a2,a3,a4,a6]
j	209267191953/55223	j-invariant
L	1.5434849664318	L(r)(E,1)/r!
Ω	1.5434849664318	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	64400bo4 36225bf4 161a3 28175i4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4025a3

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	0	+	+	4	-6	2	4	-	-2	-4	2	-6	-12	12	10	0	2	-12	8	14	8	4	6	10

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Quadratic twists for elliptic curve 4025a3

-4	-3	5	-7	-23
64400bo4	36225bf4	161a3	28175i4	92575q4

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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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