Atkin-Lehner |
2- 3+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
86688bb |
Isogeny class |
Conductor |
86688 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
273920 |
Modular degree for the optimal curve |
Δ |
14225713012224 = 29 · 33 · 7 · 435 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ -6 5 -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39507,-3016998] |
[a1,a2,a3,a4,a6] |
Generators |
[-942:387:8] |
Generators of the group modulo torsion |
j |
493301168454744/1029059101 |
j-invariant |
L |
6.0630411563695 |
L(r)(E,1)/r! |
Ω |
0.33867681861027 |
Real period |
R |
1.7902143950378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999949734 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86688e1 86688c1 |
Quadratic twists by: -4 -3 |