Cremona's table of elliptic curves

Curve 29406f4

29406 = 2 · 3 · 132 · 29



Data for elliptic curve 29406f4

Field Data Notes
Atkin-Lehner 2+ 3+ 13+ 29- Signs for the Atkin-Lehner involutions
Class 29406f Isogeny class
Conductor 29406 Conductor
∏ cp 64 Product of Tamagawa factors cp
Δ 747728288743162896 = 24 · 34 · 138 · 294 Discriminant
Eigenvalues 2+ 3+  2  0  4 13+  2  4 Hecke eigenvalues for primes up to 20
Equation [1,1,0,-2463854,-1489020060] [a1,a2,a3,a4,a6]
j 342695799974030257/154911513744 j-invariant
L 1.9280911200677 L(r)(E,1)/r!
Ω 0.12050569500438 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 4 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 88218bx4 2262k3 Quadratic twists by: -3 13


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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