Atkin-Lehner |
2- 3- 11- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48906bn |
Isogeny class |
Conductor |
48906 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8704 |
Modular degree for the optimal curve |
Δ |
-11884158 = -1 · 2 · 37 · 11 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 3 11- 13+ -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5,-165] |
[a1,a2,a3,a4,a6] |
j |
-15625/16302 |
j-invariant |
L |
4.0784753000596 |
L(r)(E,1)/r! |
Ω |
1.0196188249199 |
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 |
16302a1 |
Quadratic twists by: -3 |