Atkin-Lehner |
2- 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
37350bj |
Isogeny class |
Conductor |
37350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
108000 |
Modular degree for the optimal curve |
Δ |
-37816875000000 = -1 · 26 · 36 · 510 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -3 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,8320,-49053] |
[a1,a2,a3,a4,a6] |
Generators |
[15:273:1] |
Generators of the group modulo torsion |
j |
8947775/5312 |
j-invariant |
L |
9.0908645449173 |
L(r)(E,1)/r! |
Ω |
0.37941093602809 |
Real period |
R |
3.9934117521256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4150c1 37350z1 |
Quadratic twists by: -3 5 |