Cremona's table of elliptic curves

Curve 4263c2

4263 = 3 · 72 · 29



Data for elliptic curve 4263c2

Field Data Notes
Atkin-Lehner 3+ 7- 29- Signs for the Atkin-Lehner involutions
Class 4263c Isogeny class
Conductor 4263 Conductor
∏ cp 8 Product of Tamagawa factors cp
Δ 210289527 = 36 · 73 · 292 Discriminant
Eigenvalues  1 3+ -2 7-  0  4  0 -4 Hecke eigenvalues for primes up to 20
Equation [1,1,0,-151,106] [a1,a2,a3,a4,a6]
Generators [-6:32:1] Generators of the group modulo torsion
j 1121622319/613089 j-invariant
L 3.2472213400167 L(r)(E,1)/r!
Ω 1.5480086785074 Real period
R 1.0488382220014 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 68208ct2 12789h2 106575cg2 4263f2 Quadratic twists by: -4 -3 5 -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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