Atkin-Lehner |
2+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
96800c |
Isogeny class |
Conductor |
96800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
-94317907640000000 = -1 · 29 · 57 · 119 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 11+ 0 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-654408,204514312] |
[a1,a2,a3,a4,a6] |
Generators |
[2826:33275:8] |
Generators of the group modulo torsion |
j |
-1643032/5 |
j-invariant |
L |
4.5788281475806 |
L(r)(E,1)/r! |
Ω |
0.33935070523742 |
Real period |
R |
1.686613616366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999697869 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96800b1 19360n1 96800bk1 |
Quadratic twists by: -4 5 -11 |