Atkin-Lehner |
2+ 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
112800y |
Isogeny class |
Conductor |
112800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
2203125000000 = 26 · 3 · 512 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3658,45188] |
[a1,a2,a3,a4,a6] |
Generators |
[1938:10718:27] |
Generators of the group modulo torsion |
j |
5414689216/2203125 |
j-invariant |
L |
9.4525096014063 |
L(r)(E,1)/r! |
Ω |
0.74563526543402 |
Real period |
R |
6.3385612312535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030823 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112800c1 22560j1 |
Quadratic twists by: -4 5 |