Atkin-Lehner |
2- 5- 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
121040z |
Isogeny class |
Conductor |
121040 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
8663040 |
Modular degree for the optimal curve |
Δ |
3.7364961411664E+22 |
Discriminant |
Eigenvalues |
2- -2 5- -2 2 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9128440,5115275988] |
[a1,a2,a3,a4,a6] |
j |
20537780490601041431161/9122305032144588800 |
j-invariant |
L |
2.0763929975389 |
L(r)(E,1)/r! |
Ω |
0.1038196511206 |
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 |
15130i1 |
Quadratic twists by: -4 |