Atkin-Lehner |
2- 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
49984o |
Isogeny class |
Conductor |
49984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
72066531328 = 223 · 112 · 71 |
Discriminant |
Eigenvalues |
2- 1 2 -3 11+ 5 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1057,-3233] |
[a1,a2,a3,a4,a6] |
Generators |
[39:128:1] |
Generators of the group modulo torsion |
j |
498677257/274912 |
j-invariant |
L |
7.5183486860608 |
L(r)(E,1)/r! |
Ω |
0.89587906972028 |
Real period |
R |
1.0490183524964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000039 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49984i1 12496i1 |
Quadratic twists by: -4 8 |