Atkin-Lehner |
2- 3+ 31- 61- |
Signs for the Atkin-Lehner involutions |
Class |
34038f |
Isogeny class |
Conductor |
34038 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
37248 |
Modular degree for the optimal curve |
Δ |
9528461568 = 28 · 39 · 31 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 6 2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-920,9883] |
[a1,a2,a3,a4,a6] |
j |
4370722875/484096 |
j-invariant |
L |
5.0136304689692 |
L(r)(E,1)/r! |
Ω |
1.2534076172425 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34038a1 |
Quadratic twists by: -3 |