Atkin-Lehner |
2- 5+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
22550z |
Isogeny class |
Conductor |
22550 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-11834240000000 = -1 · 213 · 57 · 11 · 412 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 11- -4 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-27088,-1726208] |
[a1,a2,a3,a4,a6] |
Generators |
[432:7984:1] |
Generators of the group modulo torsion |
j |
-140681020636729/757391360 |
j-invariant |
L |
9.2758992899448 |
L(r)(E,1)/r! |
Ω |
0.18600962962839 |
Real period |
R |
0.47949850502137 |
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 |
4510a1 |
Quadratic twists by: 5 |