Atkin-Lehner |
2+ 5+ 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
34840c |
Isogeny class |
Conductor |
34840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7552 |
Modular degree for the optimal curve |
Δ |
-905840 = -1 · 24 · 5 · 132 · 67 |
Discriminant |
Eigenvalues |
2+ 3 5+ 1 4 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17,-37] |
[a1,a2,a3,a4,a6] |
j |
33958656/56615 |
j-invariant |
L |
5.8942467396872 |
L(r)(E,1)/r! |
Ω |
1.4735616849212 |
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 |
69680f1 |
Quadratic twists by: -4 |