Atkin-Lehner |
2- 3- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
69678bn |
Isogeny class |
Conductor |
69678 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
18726519924 = 22 · 37 · 73 · 792 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4136,103191] |
[a1,a2,a3,a4,a6] |
Generators |
[41:15:1] |
Generators of the group modulo torsion |
j |
31285651951/74892 |
j-invariant |
L |
8.0172318769384 |
L(r)(E,1)/r! |
Ω |
1.2263309112862 |
Real period |
R |
1.63439407007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999426 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23226f2 69678bj2 |
Quadratic twists by: -3 -7 |