Cremona's table of elliptic curves

Curve 5264c2

5264 = 24 · 7 · 47



Data for elliptic curve 5264c2

Field Data Notes
Atkin-Lehner 2+ 7- 47- Signs for the Atkin-Lehner involutions
Class 5264c Isogeny class
Conductor 5264 Conductor
∏ cp 8 Product of Tamagawa factors cp
Δ 221677568 = 211 · 72 · 472 Discriminant
Eigenvalues 2+  0  0 7- -2  4  6 -2 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-2075,-36374] [a1,a2,a3,a4,a6]
Generators [55:126:1] Generators of the group modulo torsion
j 482445281250/108241 j-invariant
L 3.8651420295584 L(r)(E,1)/r!
Ω 0.70737690500244 Real period
R 2.7320244711304 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 2632b2 21056bc2 47376o2 36848a2 Quadratic twists by: -4 8 -3 -7


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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