Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800jm |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-19051200000000 = -1 · 212 · 35 · 58 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 3 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3208,-222412] |
[a1,a2,a3,a4,a6] |
Generators |
[158:-1800:1] |
Generators of the group modulo torsion |
j |
-46585/243 |
j-invariant |
L |
7.8212490769779 |
L(r)(E,1)/r! |
Ω |
0.28574457043408 |
Real period |
R |
0.45619117482363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997826 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3675g1 58800fg1 58800gl1 |
Quadratic twists by: -4 5 -7 |