Atkin-Lehner |
2- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
6992o |
Isogeny class |
Conductor |
6992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
16028862644224 = 217 · 19 · 235 |
Discriminant |
Eigenvalues |
2- 1 1 2 3 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6560,-70924] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:224:1] |
Generators of the group modulo torsion |
j |
7623273198241/3913296544 |
j-invariant |
L |
5.2754465994418 |
L(r)(E,1)/r! |
Ω |
0.56060042826862 |
Real period |
R |
2.3525876602229 |
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 |
874e1 27968be1 62928bl1 |
Quadratic twists by: -4 8 -3 |