Atkin-Lehner |
2- 3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
22770bx |
Isogeny class |
Conductor |
22770 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-980173837170 = -1 · 2 · 318 · 5 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 11- -4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3002,-78469] |
[a1,a2,a3,a4,a6] |
j |
-4102915888729/1344545730 |
j-invariant |
L |
5.7098741065936 |
L(r)(E,1)/r! |
Ω |
0.31721522814409 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7590j1 113850bw1 |
Quadratic twists by: -3 5 |