Atkin-Lehner |
2- 3- 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
23634j |
Isogeny class |
Conductor |
23634 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7296 |
Modular degree for the optimal curve |
Δ |
-74659806 = -1 · 2 · 37 · 132 · 101 |
Discriminant |
Eigenvalues |
2- 3- 1 4 0 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-122,-633] |
[a1,a2,a3,a4,a6] |
j |
-273359449/102414 |
j-invariant |
L |
5.644367588505 |
L(r)(E,1)/r! |
Ω |
0.70554594856314 |
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 |
7878a1 |
Quadratic twists by: -3 |