Atkin-Lehner |
2- 13- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
8398i |
Isogeny class |
Conductor |
8398 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
7488 |
Modular degree for the optimal curve |
Δ |
-49413025792 = -1 · 212 · 133 · 172 · 19 |
Discriminant |
Eigenvalues |
2- -2 0 2 -6 13- 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,507,9793] |
[a1,a2,a3,a4,a6] |
j |
14410997795375/49413025792 |
j-invariant |
L |
1.599281069027 |
L(r)(E,1)/r! |
Ω |
0.79964053451348 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
67184s1 75582q1 109174b1 |
Quadratic twists by: -4 -3 13 |