Atkin-Lehner |
2- 5+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
88330s |
Isogeny class |
Conductor |
88330 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
5297109114880000 = 216 · 54 · 116 · 73 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-104688,12584531] |
[a1,a2,a3,a4,a6] |
Generators |
[125:1137:1] |
Generators of the group modulo torsion |
j |
71623315478889/2990080000 |
j-invariant |
L |
9.1829213460012 |
L(r)(E,1)/r! |
Ω |
0.42571028058494 |
Real period |
R |
1.3481764724655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999957096 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
730a1 |
Quadratic twists by: -11 |