Atkin-Lehner |
2- 5+ 7+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
111650o |
Isogeny class |
Conductor |
111650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
114048 |
Modular degree for the optimal curve |
Δ |
-5076948800 = -1 · 26 · 52 · 73 · 11 · 292 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 11+ 6 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3443,76401] |
[a1,a2,a3,a4,a6] |
Generators |
[39:38:1] |
Generators of the group modulo torsion |
j |
-180552146199385/203077952 |
j-invariant |
L |
7.6610330845748 |
L(r)(E,1)/r! |
Ω |
1.3587428329251 |
Real period |
R |
0.4698603804993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999880277 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111650j1 |
Quadratic twists by: 5 |