Atkin-Lehner |
2- 19- |
Signs for the Atkin-Lehner involutions |
Class |
23104by |
Isogeny class |
Conductor |
23104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-14645194571776 = -1 · 214 · 197 |
Discriminant |
Eigenvalues |
2- 2 1 3 -3 -4 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1925,187613] |
[a1,a2,a3,a4,a6] |
Generators |
[-764:29241:64] |
Generators of the group modulo torsion |
j |
-1024/19 |
j-invariant |
L |
8.5761380727254 |
L(r)(E,1)/r! |
Ω |
0.59140202089286 |
Real period |
R |
3.6253418866314 |
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 |
23104t1 5776f1 1216l1 |
Quadratic twists by: -4 8 -19 |