Atkin-Lehner |
2- 5+ 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
87100n |
Isogeny class |
Conductor |
87100 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
310957887500000000 = 28 · 511 · 135 · 67 |
Discriminant |
Eigenvalues |
2- 0 5+ -1 0 13- 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-267575,-46025250] |
[a1,a2,a3,a4,a6] |
j |
529663837936464/77739471875 |
j-invariant |
L |
2.1197163221603 |
L(r)(E,1)/r! |
Ω |
0.21197161888548 |
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 |
17420a1 |
Quadratic twists by: 5 |