Atkin-Lehner |
2- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
9386k |
Isogeny class |
Conductor |
9386 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
143640 |
Modular degree for the optimal curve |
Δ |
-1305868064381550592 = -1 · 214 · 13 · 1910 |
Discriminant |
Eigenvalues |
2- -2 0 0 3 13- 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,257927,21948153] |
[a1,a2,a3,a4,a6] |
j |
309512375/212992 |
j-invariant |
L |
2.4001085234631 |
L(r)(E,1)/r! |
Ω |
0.17143632310451 |
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 |
75088bd1 84474v1 122018m1 9386b1 |
Quadratic twists by: -4 -3 13 -19 |