Atkin-Lehner |
2- 3- 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
67896i |
Isogeny class |
Conductor |
67896 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
42764702976 = 28 · 311 · 23 · 41 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 6 -6 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-876,772] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:81:1] |
Generators of the group modulo torsion |
j |
398353408/229149 |
j-invariant |
L |
8.0267519072902 |
L(r)(E,1)/r! |
Ω |
0.97419077950471 |
Real period |
R |
1.0299255643872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000091 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22632b1 |
Quadratic twists by: -3 |