Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
12276g |
Isogeny class |
Conductor |
12276 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-47645562096 = -1 · 24 · 38 · 114 · 31 |
Discriminant |
Eigenvalues |
2- 3- -3 3 11- -2 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,51,10501] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:99:1] |
Generators of the group modulo torsion |
j |
1257728/4084839 |
j-invariant |
L |
4.2084715239258 |
L(r)(E,1)/r! |
Ω |
0.88910823438644 |
Real period |
R |
0.19722343510246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49104bg1 4092e1 |
Quadratic twists by: -4 -3 |