Atkin-Lehner |
2- 3- 23+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
8418g |
Isogeny class |
Conductor |
8418 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
23760 |
Modular degree for the optimal curve |
Δ |
5084301754368 = 227 · 33 · 23 · 61 |
Discriminant |
Eigenvalues |
2- 3- 0 5 3 -4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4383,-26919] |
[a1,a2,a3,a4,a6] |
j |
9312028938816625/5084301754368 |
j-invariant |
L |
5.6383228780896 |
L(r)(E,1)/r! |
Ω |
0.62648031978773 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
67344o1 25254h1 |
Quadratic twists by: -4 -3 |