Atkin-Lehner |
2- 3+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5610z |
Isogeny class |
Conductor |
5610 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
19794099600000000 = 210 · 37 · 58 · 113 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1024276,-399370027] |
[a1,a2,a3,a4,a6] |
Generators |
[-587:513:1] |
Generators of the group modulo torsion |
j |
118843307222596927933249/19794099600000000 |
j-invariant |
L |
4.2766497951935 |
L(r)(E,1)/r! |
Ω |
0.15007199080938 |
Real period |
R |
1.8998214444184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44880ca1 16830ba1 28050bk1 61710h1 |
Quadratic twists by: -4 -3 5 -11 |