Atkin-Lehner |
2- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
97600cd |
Isogeny class |
Conductor |
97600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
24400000000 = 210 · 58 · 61 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 -6 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-50800,4407000] |
[a1,a2,a3,a4,a6] |
Generators |
[114:312:1] |
Generators of the group modulo torsion |
j |
906139090944/1525 |
j-invariant |
L |
6.3660714562504 |
L(r)(E,1)/r! |
Ω |
1.0225001554808 |
Real period |
R |
3.1129929044684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977872 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97600m1 24400o1 19520x1 |
Quadratic twists by: -4 8 5 |