Atkin-Lehner |
2+ 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
91960k |
Isogeny class |
Conductor |
91960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-336596590000 = -1 · 24 · 54 · 116 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 11- 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-242,-27951] |
[a1,a2,a3,a4,a6] |
j |
-55296/11875 |
j-invariant |
L |
3.4324937731951 |
L(r)(E,1)/r! |
Ω |
0.42906172388972 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
760e1 |
Quadratic twists by: -11 |