Atkin-Lehner |
2- 3- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
58656x |
Isogeny class |
Conductor |
58656 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
156758981184 = 26 · 38 · 132 · 472 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2594,-48024] |
[a1,a2,a3,a4,a6] |
Generators |
[85:594:1] |
Generators of the group modulo torsion |
j |
30173178731968/2449359081 |
j-invariant |
L |
7.2049125332574 |
L(r)(E,1)/r! |
Ω |
0.67239787342824 |
Real period |
R |
2.6788129535315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000265 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
58656f1 117312e2 |
Quadratic twists by: -4 8 |