Atkin-Lehner |
2- 5- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
86900l |
Isogeny class |
Conductor |
86900 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1056000 |
Modular degree for the optimal curve |
Δ |
27156250000 = 24 · 59 · 11 · 79 |
Discriminant |
Eigenvalues |
2- 3 5- 2 11+ 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1475125,689590625] |
[a1,a2,a3,a4,a6] |
Generators |
[3885928800:114412625:5545233] |
Generators of the group modulo torsion |
j |
11359524709331712/869 |
j-invariant |
L |
13.62130125581 |
L(r)(E,1)/r! |
Ω |
0.65847736041464 |
Real period |
R |
10.343029287989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005372 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86900m1 |
Quadratic twists by: 5 |