Atkin-Lehner |
2+ 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
96832i |
Isogeny class |
Conductor |
96832 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
421412864 = 214 · 172 · 89 |
Discriminant |
Eigenvalues |
2+ -2 -2 -2 0 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-209,-689] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:20:1] [-5:16:1] |
Generators of the group modulo torsion |
j |
61918288/25721 |
j-invariant |
L |
6.4825400472608 |
L(r)(E,1)/r! |
Ω |
1.3021142167785 |
Real period |
R |
2.4892363369657 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001067 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96832ba1 12104c1 |
Quadratic twists by: -4 8 |