Atkin-Lehner |
2- 3- 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22770bu |
Isogeny class |
Conductor |
22770 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
94431744000 = 212 · 36 · 53 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6122,-182231] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:31:1] |
Generators of the group modulo torsion |
j |
34802436655449/129536000 |
j-invariant |
L |
9.0867017497009 |
L(r)(E,1)/r! |
Ω |
0.53985730538456 |
Real period |
R |
0.93509295667061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2530a1 113850bx1 |
Quadratic twists by: -3 5 |