Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694cq |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
4514920913632272 = 24 · 3 · 117 · 136 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 11- 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-41324,-74755] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:365:1] |
Generators of the group modulo torsion |
j |
912673/528 |
j-invariant |
L |
5.2969498751467 |
L(r)(E,1)/r! |
Ω |
0.36695298055701 |
Real period |
R |
1.8043694243721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999410086 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11154h1 726c1 |
Quadratic twists by: -11 13 |