Atkin-Lehner |
2- 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
22990bk |
Isogeny class |
Conductor |
22990 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-3494480000000 = -1 · 210 · 57 · 112 · 192 |
Discriminant |
Eigenvalues |
2- -1 5- -5 11- -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3550,119835] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:383:1] |
Generators of the group modulo torsion |
j |
-40891312173481/28880000000 |
j-invariant |
L |
5.1594238735036 |
L(r)(E,1)/r! |
Ω |
0.72888654261616 |
Real period |
R |
0.050560719005194 |
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 |
114950bb1 22990n1 |
Quadratic twists by: 5 -11 |