Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800co |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
19 |
Product of Tamagawa factors cp |
deg |
1532160 |
Modular degree for the optimal curve |
Δ |
-1.3132403891757E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 1 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3609503,-2697659112] |
[a1,a2,a3,a4,a6] |
Generators |
[37852:7354962:1] |
Generators of the group modulo torsion |
j |
-46028377077760/1162261467 |
j-invariant |
L |
7.3777144522234 |
L(r)(E,1)/r! |
Ω |
0.054683963783826 |
Real period |
R |
7.1008159205327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400cl1 58800bs1 58800b1 |
Quadratic twists by: -4 5 -7 |