Atkin-Lehner |
2- 3- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86394cr |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
630 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-1.1949499210012E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-84763,-166593679] |
[a1,a2,a3,a4,a6] |
Generators |
[770:-15379:1] |
Generators of the group modulo torsion |
j |
-4600152712890625/816166874531232 |
j-invariant |
L |
13.487596010967 |
L(r)(E,1)/r! |
Ω |
0.10058661475639 |
Real period |
R |
0.21284027299477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005942 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86394x1 |
Quadratic twists by: -11 |