Atkin-Lehner |
2- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
7888d |
Isogeny class |
Conductor |
7888 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-23400158448320512 = -1 · 226 · 17 · 295 |
Discriminant |
Eigenvalues |
2- 2 0 -1 4 -3 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,55472,5355456] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:1914:1] |
Generators of the group modulo torsion |
j |
4608689059523375/5712929308672 |
j-invariant |
L |
5.805776754472 |
L(r)(E,1)/r! |
Ω |
0.25455039419442 |
Real period |
R |
2.2807966072281 |
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 |
986e1 31552o1 70992bd1 |
Quadratic twists by: -4 8 -3 |