Atkin-Lehner |
2- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
12376l |
Isogeny class |
Conductor |
12376 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
36038912 = 28 · 72 · 132 · 17 |
Discriminant |
Eigenvalues |
2- -2 -4 7+ 0 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-260,1504] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:26:1] [-8:56:1] |
Generators of the group modulo torsion |
j |
7622072656/140777 |
j-invariant |
L |
3.8216628574524 |
L(r)(E,1)/r! |
Ω |
2.0614445928815 |
Real period |
R |
0.46346902442242 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24752o1 99008j1 111384v1 86632t1 |
Quadratic twists by: -4 8 -3 -7 |