Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360cf |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
575789760 = 26 · 32 · 5 · 7 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-476,-3990] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:6:1] |
Generators of the group modulo torsion |
j |
186756901696/8996715 |
j-invariant |
L |
8.0463899380142 |
L(r)(E,1)/r! |
Ω |
1.024984344826 |
Real period |
R |
1.9625641057192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000008429 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360a1 43680i3 |
Quadratic twists by: -4 8 |