Atkin-Lehner |
2- 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520fu |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
254260270080 = 210 · 310 · 5 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 4 -2 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4512,114104] |
[a1,a2,a3,a4,a6] |
j |
13608288256/340605 |
j-invariant |
L |
1.9641010409302 |
L(r)(E,1)/r! |
Ω |
0.98205053247984 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520ca1 20880cc1 27840co1 |
Quadratic twists by: -4 8 -3 |