Atkin-Lehner |
2- 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
86112br |
Isogeny class |
Conductor |
86112 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
16711680 |
Modular degree for the optimal curve |
Δ |
-1.0686459444652E+20 |
Discriminant |
Eigenvalues |
2- 3- -4 4 -6 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59875617,-178330162480] |
[a1,a2,a3,a4,a6] |
Generators |
[19602520897636564:7830842243070494882:122541299063] |
Generators of the group modulo torsion |
j |
-508822391654348732468416/2290479133370103 |
j-invariant |
L |
5.884906079222 |
L(r)(E,1)/r! |
Ω |
0.027136694238748 |
Real period |
R |
27.107696073629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000486 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86112bk1 28704e1 |
Quadratic twists by: -4 -3 |