Atkin-Lehner |
2+ 3- 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
122640v |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
209664 |
Modular degree for the optimal curve |
Δ |
476436900240 = 24 · 37 · 5 · 7 · 733 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 3 2 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5580,155115] |
[a1,a2,a3,a4,a6] |
j |
1201113793797376/29777306265 |
j-invariant |
L |
6.5245720567571 |
L(r)(E,1)/r! |
Ω |
0.93208177995971 |
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 |
61320h1 |
Quadratic twists by: -4 |