Atkin-Lehner |
2+ 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
22550g |
Isogeny class |
Conductor |
22550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2128896 |
Modular degree for the optimal curve |
Δ |
-1.9389218816E+23 |
Discriminant |
Eigenvalues |
2+ -1 5+ 3 11- 0 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-15524875,31666392125] |
[a1,a2,a3,a4,a6] |
Generators |
[123095:55395565:343] |
Generators of the group modulo torsion |
j |
-26484273620628486652081/12409100042240000000 |
j-invariant |
L |
3.3254649540653 |
L(r)(E,1)/r! |
Ω |
0.094014415522335 |
Real period |
R |
8.8429655590297 |
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 |
4510j1 |
Quadratic twists by: 5 |