Atkin-Lehner |
2- 3- 7- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
112518bk |
Isogeny class |
Conductor |
112518 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
2457600 |
Modular degree for the optimal curve |
Δ |
6112221647924625408 = 224 · 311 · 72 · 19 · 472 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1998320,-1080264877] |
[a1,a2,a3,a4,a6] |
Generators |
[1821:35377:1] |
Generators of the group modulo torsion |
j |
1210573283321371677625/8384391835287552 |
j-invariant |
L |
12.137395288336 |
L(r)(E,1)/r! |
Ω |
0.12703242362196 |
Real period |
R |
0.9952671682289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030743 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37506n1 |
Quadratic twists by: -3 |