Atkin-Lehner |
2- 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
37350bl |
Isogeny class |
Conductor |
37350 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-37175500800 = -1 · 213 · 37 · 52 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 6 1 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-905,14217] |
[a1,a2,a3,a4,a6] |
Generators |
[23:60:1] |
Generators of the group modulo torsion |
j |
-4493160625/2039808 |
j-invariant |
L |
9.324651015351 |
L(r)(E,1)/r! |
Ω |
1.0799793887422 |
Real period |
R |
0.16604040197704 |
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 |
12450c1 37350ba1 |
Quadratic twists by: -3 5 |