Atkin-Lehner |
2- 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
67626be |
Isogeny class |
Conductor |
67626 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3055104 |
Modular degree for the optimal curve |
Δ |
8253608052047834736 = 24 · 39 · 13 · 1710 |
Discriminant |
Eigenvalues |
2- 3- 3 1 6 13- 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3398261,-2406384867] |
[a1,a2,a3,a4,a6] |
j |
2953092457/5616 |
j-invariant |
L |
8.0069569324431 |
L(r)(E,1)/r! |
Ω |
0.11120773523889 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22542e1 67626bn1 |
Quadratic twists by: -3 17 |