Atkin-Lehner |
2- 3+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
125736o |
Isogeny class |
Conductor |
125736 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-21546875376 = -1 · 24 · 32 · 136 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 0 13+ 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,620,-4031] |
[a1,a2,a3,a4,a6] |
Generators |
[61:507:1] |
Generators of the group modulo torsion |
j |
340736/279 |
j-invariant |
L |
6.4288001715414 |
L(r)(E,1)/r! |
Ω |
0.66975200467429 |
Real period |
R |
1.1998471442636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998913568 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
744a1 |
Quadratic twists by: 13 |