Atkin-Lehner |
2- 3- 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
37350bt |
Isogeny class |
Conductor |
37350 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
306000 |
Modular degree for the optimal curve |
Δ |
-24202800000000 = -1 · 210 · 36 · 58 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 2 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-495680,134446947] |
[a1,a2,a3,a4,a6] |
j |
-47297644854745/84992 |
j-invariant |
L |
5.7665731706083 |
L(r)(E,1)/r! |
Ω |
0.57665731706348 |
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 |
4150h1 37350q1 |
Quadratic twists by: -3 5 |