Atkin-Lehner |
2- 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
8892i |
Isogeny class |
Conductor |
8892 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-233361648 = -1 · 24 · 310 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 2 2 13+ 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2181,-39211] |
[a1,a2,a3,a4,a6] |
j |
-98365589248/20007 |
j-invariant |
L |
2.0958084821689 |
L(r)(E,1)/r! |
Ω |
0.34930141369482 |
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 |
35568bl1 2964b1 115596p1 |
Quadratic twists by: -4 -3 13 |