Atkin-Lehner |
2+ 3- 29- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
31842j |
Isogeny class |
Conductor |
31842 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-794105675513856 = -1 · 218 · 310 · 292 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 1 3 3 -5 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-496314,-134463564] |
[a1,a2,a3,a4,a6] |
Generators |
[405780:22316406:125] |
Generators of the group modulo torsion |
j |
-18546683202086221729/1089308196864 |
j-invariant |
L |
5.1833746141934 |
L(r)(E,1)/r! |
Ω |
0.089935024254557 |
Real period |
R |
7.204332596167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10614o1 |
Quadratic twists by: -3 |