Atkin-Lehner |
3- 17+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
87567c |
Isogeny class |
Conductor |
87567 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
3051495441586017 = 36 · 177 · 1012 |
Discriminant |
Eigenvalues |
1 3- -2 0 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-64887,5774629] |
[a1,a2,a3,a4,a6] |
Generators |
[-163:3549:1] |
Generators of the group modulo torsion |
j |
1251680967433/126420993 |
j-invariant |
L |
7.5048157035726 |
L(r)(E,1)/r! |
Ω |
0.43700707725608 |
Real period |
R |
1.431101098272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006672 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5151a1 |
Quadratic twists by: 17 |