Atkin-Lehner |
2+ 3+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
57408n |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
7312011952128 = 221 · 3 · 133 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17997793,-29382472607] |
[a1,a2,a3,a4,a6] |
Generators |
[6387:340844:1] [118558333656:11755867866203:10218313] |
Generators of the group modulo torsion |
j |
2459470239675979413625/27893112 |
j-invariant |
L |
7.7461445427321 |
L(r)(E,1)/r! |
Ω |
0.073298441320978 |
Real period |
R |
105.67952610081 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408cw4 1794f4 |
Quadratic twists by: -4 8 |