Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
67600d |
Isogeny class |
Conductor |
67600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
203932680250000 = 24 · 56 · 138 |
Discriminant |
Eigenvalues |
2+ 1 5+ -1 -1 13+ -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18308,-667237] |
[a1,a2,a3,a4,a6] |
Generators |
[-566:4225:8] |
Generators of the group modulo torsion |
j |
3328 |
j-invariant |
L |
6.0018182368462 |
L(r)(E,1)/r! |
Ω |
0.41996908468729 |
Real period |
R |
1.1909246130388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001354 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33800g1 2704b1 67600c1 |
Quadratic twists by: -4 5 13 |