Atkin-Lehner |
2- 3- 7- 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
35742p |
Isogeny class |
Conductor |
35742 |
Conductor |
∏ cp |
1200 |
Product of Tamagawa factors cp |
deg |
652800 |
Modular degree for the optimal curve |
Δ |
-3272405624704613376 = -1 · 210 · 35 · 74 · 236 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -2 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,319956,-52150896] |
[a1,a2,a3,a4,a6] |
Generators |
[2268:109956:1] |
Generators of the group modulo torsion |
j |
3622383303992721463103/3272405624704613376 |
j-invariant |
L |
9.2574953136 |
L(r)(E,1)/r! |
Ω |
0.13804038329014 |
Real period |
R |
0.22354558120243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107226m1 |
Quadratic twists by: -3 |