Atkin-Lehner |
2- 3+ 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
122640bd |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-671454000 = -1 · 24 · 32 · 53 · 7 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,219,0] |
[a1,a2,a3,a4,a6] |
j |
72268906496/41965875 |
j-invariant |
L |
0.97151368797332 |
L(r)(E,1)/r! |
Ω |
0.97151332411533 |
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 |
30660m1 |
Quadratic twists by: -4 |