Atkin-Lehner |
2+ 3- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
112464o |
Isogeny class |
Conductor |
112464 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
3072000 |
Modular degree for the optimal curve |
Δ |
126009072621501696 = 28 · 316 · 115 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 3 5 11- -1 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2246916,1296255692] |
[a1,a2,a3,a4,a6] |
j |
6722282026842016768/675202935429 |
j-invariant |
L |
6.324821746024 |
L(r)(E,1)/r! |
Ω |
0.31624110682674 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56232k1 37488c1 |
Quadratic twists by: -4 -3 |