Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800fr |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7.35444487575E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28660508,-59046353988] |
[a1,a2,a3,a4,a6] |
Generators |
[-471145487149919476410483018:-164909164194332833780575825:152183377802497937523256] |
Generators of the group modulo torsion |
j |
16129950234928/455625 |
j-invariant |
L |
5.239906404556 |
L(r)(E,1)/r! |
Ω |
0.065249820083683 |
Real period |
R |
40.15265021299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999899 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14700bf2 11760cr2 58800ip2 |
Quadratic twists by: -4 5 -7 |