Atkin-Lehner |
2- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
13690h |
Isogeny class |
Conductor |
13690 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
60192 |
Modular degree for the optimal curve |
Δ |
-972102421841920 = -1 · 211 · 5 · 377 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 3 0 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,17084,-1222331] |
[a1,a2,a3,a4,a6] |
j |
214921799/378880 |
j-invariant |
L |
5.7142474520307 |
L(r)(E,1)/r! |
Ω |
0.25973852054685 |
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 |
109520m1 123210bm1 68450j1 370b1 |
Quadratic twists by: -4 -3 5 37 |