Atkin-Lehner |
2- 5+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
55760n |
Isogeny class |
Conductor |
55760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
121333760000 = 214 · 54 · 172 · 41 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 4 -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3683,-84382] |
[a1,a2,a3,a4,a6] |
Generators |
[194:2550:1] |
Generators of the group modulo torsion |
j |
1348866350649/29622500 |
j-invariant |
L |
5.9090251485015 |
L(r)(E,1)/r! |
Ω |
0.61366238536396 |
Real period |
R |
2.4072785335545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999247 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6970b1 |
Quadratic twists by: -4 |