Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8450c |
Isogeny class |
Conductor |
8450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-1960891156250 = -1 · 2 · 56 · 137 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 -6 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2025,58375] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:95:1] |
Generators of the group modulo torsion |
j |
12167/26 |
j-invariant |
L |
2.0397831619113 |
L(r)(E,1)/r! |
Ω |
0.57554471791415 |
Real period |
R |
0.88602288337549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67600bn1 76050eh1 338c1 650h1 |
Quadratic twists by: -4 -3 5 13 |