Atkin-Lehner |
2- 3+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
58656o |
Isogeny class |
Conductor |
58656 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2280960 |
Modular degree for the optimal curve |
Δ |
-3.6560581657067E+20 |
Discriminant |
Eigenvalues |
2- 3+ 0 3 -5 13- -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-967153,-989795615] |
[a1,a2,a3,a4,a6] |
Generators |
[7149:597844:1] |
Generators of the group modulo torsion |
j |
-24425854348032136000/89259232561198713 |
j-invariant |
L |
5.0604920231548 |
L(r)(E,1)/r! |
Ω |
0.069750091051021 |
Real period |
R |
6.0459801876965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000278 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58656w1 117312cm1 |
Quadratic twists by: -4 8 |