Atkin-Lehner |
2+ 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
55616b |
Isogeny class |
Conductor |
55616 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36096 |
Modular degree for the optimal curve |
Δ |
3818094016 = 26 · 112 · 793 |
Discriminant |
Eigenvalues |
2+ -1 3 -1 11+ -1 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3184,-68038] |
[a1,a2,a3,a4,a6] |
Generators |
[-2044:473:64] |
Generators of the group modulo torsion |
j |
55795517144128/59657719 |
j-invariant |
L |
5.2163776096018 |
L(r)(E,1)/r! |
Ω |
0.6355837780199 |
Real period |
R |
4.1036113490679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000134 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55616o1 27808h1 |
Quadratic twists by: -4 8 |