Atkin-Lehner |
2- 11- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
125488o |
Isogeny class |
Conductor |
125488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20352 |
Modular degree for the optimal curve |
Δ |
-31748464 = -1 · 24 · 112 · 232 · 31 |
Discriminant |
Eigenvalues |
2- 0 -1 1 11- 4 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7,271] |
[a1,a2,a3,a4,a6] |
Generators |
[6:23:1] |
Generators of the group modulo torsion |
j |
2370816/1984279 |
j-invariant |
L |
6.1266628547801 |
L(r)(E,1)/r! |
Ω |
1.6251908203298 |
Real period |
R |
0.94245283179468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000149305 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31372a1 |
Quadratic twists by: -4 |