Atkin-Lehner |
2+ 5- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
91120g |
Isogeny class |
Conductor |
91120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
164864 |
Modular degree for the optimal curve |
Δ |
48840320000 = 210 · 54 · 17 · 672 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 6 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3720,-87932] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:20:1] |
Generators of the group modulo torsion |
j |
5561210265124/47695625 |
j-invariant |
L |
4.2880772265487 |
L(r)(E,1)/r! |
Ω |
0.61161594313982 |
Real period |
R |
0.87638273668806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999863372 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45560g1 |
Quadratic twists by: -4 |