Atkin-Lehner |
2- 3- 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
74778bp |
Isogeny class |
Conductor |
74778 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
777600 |
Modular degree for the optimal curve |
Δ |
230406554002607928 = 23 · 315 · 117 · 103 |
Discriminant |
Eigenvalues |
2- 3- 0 1 11- 1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-617163,-185232519] |
[a1,a2,a3,a4,a6] |
Generators |
[2100:-89259:1] |
Generators of the group modulo torsion |
j |
14674634379015625/130058493048 |
j-invariant |
L |
13.207368007171 |
L(r)(E,1)/r! |
Ω |
0.17042442267987 |
Real period |
R |
0.43053844950522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001103 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6798g1 |
Quadratic twists by: -11 |