Atkin-Lehner |
2- 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22990bd |
Isogeny class |
Conductor |
22990 |
Conductor |
∏ cp |
182 |
Product of Tamagawa factors cp |
deg |
87360 |
Modular degree for the optimal curve |
Δ |
-16184960000000 = -1 · 213 · 57 · 113 · 19 |
Discriminant |
Eigenvalues |
2- -3 5- 0 11+ 3 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2133,-190341] |
[a1,a2,a3,a4,a6] |
Generators |
[267:-4534:1] |
Generators of the group modulo torsion |
j |
806694490629/12160000000 |
j-invariant |
L |
5.3274276548329 |
L(r)(E,1)/r! |
Ω |
0.34042586346292 |
Real period |
R |
0.085985184037723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114950e1 22990k1 |
Quadratic twists by: 5 -11 |