Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
97020u |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-6989664409912800000 = -1 · 28 · 39 · 55 · 79 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ 6 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,444528,-56269836] |
[a1,a2,a3,a4,a6] |
j |
47775744/34375 |
j-invariant |
L |
2.6561464402413 |
L(r)(E,1)/r! |
Ω |
0.13280732582503 |
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 |
97020m1 97020i1 |
Quadratic twists by: -3 -7 |