Atkin-Lehner |
3+ 5+ 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
19095a |
Isogeny class |
Conductor |
19095 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8386560 |
Modular degree for the optimal curve |
Δ |
3.113315468619E+20 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1860207508,-30881693142413] |
[a1,a2,a3,a4,a6] |
j |
711881802147435802741104664697929/311331546861895265625 |
j-invariant |
L |
3.3792983882431 |
L(r)(E,1)/r! |
Ω |
0.022988424409817 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57285d1 95475h1 |
Quadratic twists by: -3 5 |