Atkin-Lehner |
2- 3+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
45936z |
Isogeny class |
Conductor |
45936 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
495173910528 = 214 · 33 · 113 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11+ -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2259,23698] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:174:1] |
Generators of the group modulo torsion |
j |
11527859979/4477484 |
j-invariant |
L |
7.0157759600533 |
L(r)(E,1)/r! |
Ω |
0.84787881928258 |
Real period |
R |
2.0686257872243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5742d1 45936ba1 |
Quadratic twists by: -4 -3 |