Atkin-Lehner |
2+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
64192w |
Isogeny class |
Conductor |
64192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
62051581952 = 220 · 17 · 592 |
Discriminant |
Eigenvalues |
2+ 0 0 2 6 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2540,47792] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:260:1] |
Generators of the group modulo torsion |
j |
6913292625/236708 |
j-invariant |
L |
7.2567113542883 |
L(r)(E,1)/r! |
Ω |
1.1000309144784 |
Real period |
R |
3.2984124623471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996184 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64192ca1 2006i1 |
Quadratic twists by: -4 8 |