Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640ec |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
400 |
Product of Tamagawa factors cp |
deg |
20736000 |
Modular degree for the optimal curve |
Δ |
-5.5391734446399E+25 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -2 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,53918840,-324016953100] |
[a1,a2,a3,a4,a6] |
Generators |
[4775:205770:1] |
Generators of the group modulo torsion |
j |
89962967236397039/287450726400000 |
j-invariant |
L |
8.7134060086305 |
L(r)(E,1)/r! |
Ω |
0.032118561225975 |
Real period |
R |
2.7128880228652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002834 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10830g1 4560s1 |
Quadratic twists by: -4 -19 |