Atkin-Lehner |
2+ 3+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57408v |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
389080950628032 = 26 · 35 · 132 · 236 |
Discriminant |
Eigenvalues |
2+ 3+ -4 2 0 13- -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-50700,-4273434] |
[a1,a2,a3,a4,a6] |
j |
225204042539923264/6079389853563 |
j-invariant |
L |
1.2747429197422 |
L(r)(E,1)/r! |
Ω |
0.31868572992971 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408bv1 28704r2 |
Quadratic twists by: -4 8 |