Atkin-Lehner |
2- 5+ 31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
57350k |
Isogeny class |
Conductor |
57350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
324000 |
Modular degree for the optimal curve |
Δ |
-580060954241200 = -1 · 24 · 52 · 315 · 373 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 2 1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-114085,14905357] |
[a1,a2,a3,a4,a6] |
j |
-6568493505109142985/23202438169648 |
j-invariant |
L |
2.0760501237522 |
L(r)(E,1)/r! |
Ω |
0.51901253183361 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57350f1 |
Quadratic twists by: 5 |