Atkin-Lehner |
2- 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
79210g |
Isogeny class |
Conductor |
79210 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1267200 |
Modular degree for the optimal curve |
Δ |
283080543331385600 = 28 · 52 · 897 |
Discriminant |
Eigenvalues |
2- 0 5- -4 -4 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-409417,97630409] |
[a1,a2,a3,a4,a6] |
Generators |
[-733:2236:1] |
Generators of the group modulo torsion |
j |
15271450641/569600 |
j-invariant |
L |
6.3181975182041 |
L(r)(E,1)/r! |
Ω |
0.30613642627118 |
Real period |
R |
5.1596257195725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005471 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
890h1 |
Quadratic twists by: 89 |