Atkin-Lehner |
2- 3- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45936bg |
Isogeny class |
Conductor |
45936 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-68520905296183296 = -1 · 217 · 311 · 112 · 293 |
Discriminant |
Eigenvalues |
2- 3- 1 1 11+ 0 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,93453,-6139982] |
[a1,a2,a3,a4,a6] |
Generators |
[494:12672:1] |
Generators of the group modulo torsion |
j |
30228456935951/22947512544 |
j-invariant |
L |
6.5524367418232 |
L(r)(E,1)/r! |
Ω |
0.19394620727667 |
Real period |
R |
4.2231018808173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5742i1 15312z1 |
Quadratic twists by: -4 -3 |