Atkin-Lehner |
2+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
67600w |
Isogeny class |
Conductor |
67600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
125497034000000000 = 210 · 59 · 137 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 -2 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147875,13731250] |
[a1,a2,a3,a4,a6] |
Generators |
[1950:-84500:1] [-159:5764:1] |
Generators of the group modulo torsion |
j |
37044/13 |
j-invariant |
L |
8.6863098329298 |
L(r)(E,1)/r! |
Ω |
0.30304478793872 |
Real period |
R |
3.5829315412567 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999739 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33800y1 67600v1 5200h1 |
Quadratic twists by: -4 5 13 |