Atkin-Lehner |
5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
88445br |
Isogeny class |
Conductor |
88445 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
442225 = 52 · 72 · 192 |
Discriminant |
Eigenvalues |
1 -1 5- 7- 3 5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-767,-8504] |
[a1,a2,a3,a4,a6] |
j |
2826773089/25 |
j-invariant |
L |
1.8140833455408 |
L(r)(E,1)/r! |
Ω |
0.90704167568224 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88445e1 88445bj1 |
Quadratic twists by: -7 -19 |