Atkin-Lehner |
2+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
21658f |
Isogeny class |
Conductor |
21658 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
100146592 = 25 · 72 · 13 · 173 |
Discriminant |
Eigenvalues |
2+ -1 0 7- 6 13+ 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-340,-2512] |
[a1,a2,a3,a4,a6] |
j |
89116617625/2043808 |
j-invariant |
L |
1.1129357972302 |
L(r)(E,1)/r! |
Ω |
1.1129357972302 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21658b1 |
Quadratic twists by: -7 |