Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113568cc |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-9235585757938176 = -1 · 29 · 35 · 7 · 139 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 5 13+ 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,49968,1685124] |
[a1,a2,a3,a4,a6] |
Generators |
[2024:91598:1] |
Generators of the group modulo torsion |
j |
5582912824/3737097 |
j-invariant |
L |
4.5472804663676 |
L(r)(E,1)/r! |
Ω |
0.25780506293656 |
Real period |
R |
4.4096112514921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000091265 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113568bg1 8736b1 |
Quadratic twists by: -4 13 |