Atkin-Lehner |
2- 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
45936bx |
Isogeny class |
Conductor |
45936 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-1131604328448 = -1 · 214 · 39 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3- -4 0 11- -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1293,-47950] |
[a1,a2,a3,a4,a6] |
Generators |
[41:272:1] |
Generators of the group modulo torsion |
j |
80062991/378972 |
j-invariant |
L |
4.410488591796 |
L(r)(E,1)/r! |
Ω |
0.43807629725525 |
Real period |
R |
2.5169637226584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5742h1 15312n1 |
Quadratic twists by: -4 -3 |