Atkin-Lehner |
2- 5+ 31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
57350m |
Isogeny class |
Conductor |
57350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
837984 |
Modular degree for the optimal curve |
Δ |
-407186688842800 = -1 · 24 · 52 · 317 · 37 |
Discriminant |
Eigenvalues |
2- 2 5+ -3 0 -2 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1252698,-540179689] |
[a1,a2,a3,a4,a6] |
j |
-8696067002004137538505/16287467553712 |
j-invariant |
L |
2.5686824194248 |
L(r)(E,1)/r! |
Ω |
0.071352289400374 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57350h1 |
Quadratic twists by: 5 |