Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
38808cl |
Isogeny class |
Conductor |
38808 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
97371445248 = 211 · 36 · 72 · 113 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- -3 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1659,21238] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:176:1] |
Generators of the group modulo torsion |
j |
6902546/1331 |
j-invariant |
L |
6.7669190665325 |
L(r)(E,1)/r! |
Ω |
1.0121003552082 |
Real period |
R |
2.2286719664078 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77616bq1 4312c1 38808bz1 |
Quadratic twists by: -4 -3 -7 |