Atkin-Lehner |
2- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
56144m |
Isogeny class |
Conductor |
56144 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
1591400332544 = 28 · 118 · 29 |
Discriminant |
Eigenvalues |
2- 2 -2 -3 11- -5 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3549,55409] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:363:1] |
Generators of the group modulo torsion |
j |
90112/29 |
j-invariant |
L |
5.8231913113394 |
L(r)(E,1)/r! |
Ω |
0.78023631813389 |
Real period |
R |
1.2438947824402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000269 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14036c1 56144s1 |
Quadratic twists by: -4 -11 |