Atkin-Lehner |
3- 13- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
19227h |
Isogeny class |
Conductor |
19227 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-7138850511 = -1 · 3 · 136 · 17 · 29 |
Discriminant |
Eigenvalues |
1 3- -2 -2 6 13- 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-702,-8285] |
[a1,a2,a3,a4,a6] |
j |
-38180835792217/7138850511 |
j-invariant |
L |
2.755054567958 |
L(r)(E,1)/r! |
Ω |
0.45917576132634 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57681l1 |
Quadratic twists by: -3 |