Atkin-Lehner |
2- 3- 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
86730cp |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-19895168160 = -1 · 25 · 36 · 5 · 72 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -1 -1 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,650,2372] |
[a1,a2,a3,a4,a6] |
Generators |
[62:500:1] |
Generators of the group modulo torsion |
j |
619763423951/406023840 |
j-invariant |
L |
13.168146261063 |
L(r)(E,1)/r! |
Ω |
0.76175088361632 |
Real period |
R |
0.28811138791012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001394 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86730bt1 |
Quadratic twists by: -7 |