Atkin-Lehner |
2- 3+ 7+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
126672bf |
Isogeny class |
Conductor |
126672 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
1136598708392784 = 24 · 36 · 76 · 134 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 6 13- -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26369,-283416] |
[a1,a2,a3,a4,a6] |
j |
126736345504694272/71037419274549 |
j-invariant |
L |
1.6108203707284 |
L(r)(E,1)/r! |
Ω |
0.40270505789582 |
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 |
31668g1 |
Quadratic twists by: -4 |