Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
67600bg |
Isogeny class |
Conductor |
67600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-156871292500000000 = -1 · 28 · 510 · 137 |
Discriminant |
Eigenvalues |
2- 0 5+ 3 3 13+ 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,105625,13731250] |
[a1,a2,a3,a4,a6] |
j |
10800/13 |
j-invariant |
L |
3.9015668378251 |
L(r)(E,1)/r! |
Ω |
0.21675371296751 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16900b1 67600cw1 5200o1 |
Quadratic twists by: -4 5 13 |