Atkin-Lehner |
2+ 3- 5+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
100650bb |
Isogeny class |
Conductor |
100650 |
Conductor |
∏ cp |
560 |
Product of Tamagawa factors cp |
deg |
32256000 |
Modular degree for the optimal curve |
Δ |
-1.8795367346224E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- -6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-24043276,-80063717302] |
[a1,a2,a3,a4,a6] |
Generators |
[6222:102826:1] [7312:363881:1] |
Generators of the group modulo torsion |
j |
-98374963836869895073969/120290351015831040000 |
j-invariant |
L |
8.9647500118773 |
L(r)(E,1)/r! |
Ω |
0.032574865583165 |
Real period |
R |
1.9657465195954 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001542 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20130n1 |
Quadratic twists by: 5 |