Atkin-Lehner |
2+ 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
37350h |
Isogeny class |
Conductor |
37350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-2.0097437866875E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -3 4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2970117,-1981220459] |
[a1,a2,a3,a4,a6] |
j |
-407021073465625/2823014592 |
j-invariant |
L |
1.8392730133213 |
L(r)(E,1)/r! |
Ω |
0.057477281667169 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12450p1 37350bw1 |
Quadratic twists by: -3 5 |