Atkin-Lehner |
2- 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
27664q |
Isogeny class |
Conductor |
27664 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3264 |
Modular degree for the optimal curve |
Δ |
-193648 = -1 · 24 · 72 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 2 -2 7- 0 13+ -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14,-25] |
[a1,a2,a3,a4,a6] |
j |
-20353792/12103 |
j-invariant |
L |
2.3885852109211 |
L(r)(E,1)/r! |
Ω |
1.1942926054605 |
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 |
6916a1 110656bn1 |
Quadratic twists by: -4 8 |