Atkin-Lehner |
2+ 3+ 5+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
91650k |
Isogeny class |
Conductor |
91650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-124057440000000000 = -1 · 214 · 33 · 510 · 13 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,64125,15778125] |
[a1,a2,a3,a4,a6] |
j |
1866273280094159/7939676160000 |
j-invariant |
L |
0.94487880822994 |
L(r)(E,1)/r! |
Ω |
0.23621972805008 |
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 |
18330bf1 |
Quadratic twists by: 5 |