Atkin-Lehner |
2- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56350bt |
Isogeny class |
Conductor |
56350 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
544320 |
Modular degree for the optimal curve |
Δ |
1773356318720000 = 220 · 54 · 76 · 23 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -3 3 8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-245230,-46636803] |
[a1,a2,a3,a4,a6] |
j |
22180666338225/24117248 |
j-invariant |
L |
4.2910605352912 |
L(r)(E,1)/r! |
Ω |
0.21455302683152 |
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 |
56350k1 1150h1 |
Quadratic twists by: 5 -7 |