Atkin-Lehner |
2- 3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22770bp |
Isogeny class |
Conductor |
22770 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-2881828125000 = -1 · 23 · 36 · 59 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11- -4 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4853,154837] |
[a1,a2,a3,a4,a6] |
j |
-17335770872841/3953125000 |
j-invariant |
L |
4.6064087383503 |
L(r)(E,1)/r! |
Ω |
0.76773478972505 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2530b1 113850cd1 |
Quadratic twists by: -3 5 |