Atkin-Lehner |
2+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
12650m |
Isogeny class |
Conductor |
12650 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-2.1184686286328E+19 |
Discriminant |
Eigenvalues |
2+ 2 5+ 1 11- -2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-33275,221445125] |
[a1,a2,a3,a4,a6] |
Generators |
[-605:4840:1] |
Generators of the group modulo torsion |
j |
-260782396264369/1355819922325000 |
j-invariant |
L |
5.0527044624724 |
L(r)(E,1)/r! |
Ω |
0.17261367446699 |
Real period |
R |
1.6262083773923 |
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 |
101200y1 113850dv1 2530i1 |
Quadratic twists by: -4 -3 5 |