Atkin-Lehner |
2- 3- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
115632bg |
Isogeny class |
Conductor |
115632 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-4945349376 = -1 · 28 · 37 · 112 · 73 |
Discriminant |
Eigenvalues |
2- 3- -3 2 11- -4 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,96,-3364] |
[a1,a2,a3,a4,a6] |
Generators |
[34:-198:1] |
Generators of the group modulo torsion |
j |
524288/26499 |
j-invariant |
L |
5.4922432293201 |
L(r)(E,1)/r! |
Ω |
0.65429847541786 |
Real period |
R |
0.52463090594408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975588 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28908f1 38544j1 |
Quadratic twists by: -4 -3 |