Atkin-Lehner |
2+ 5- 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
122210i |
Isogeny class |
Conductor |
122210 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10598400 |
Modular degree for the optimal curve |
Δ |
-1.0088737415738E+21 |
Discriminant |
Eigenvalues |
2+ -3 5- -1 11- 4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3144994,2635898260] |
[a1,a2,a3,a4,a6] |
j |
-1941901255697022801/569482925834240 |
j-invariant |
L |
0.59156338829323 |
L(r)(E,1)/r! |
Ω |
0.14789120442661 |
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 |
11110i1 |
Quadratic twists by: -11 |