Atkin-Lehner |
2- 3- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
69678bs |
Isogeny class |
Conductor |
69678 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
1776162847850496 = 218 · 36 · 76 · 79 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 0 -5 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2300486,-1342427691] |
[a1,a2,a3,a4,a6] |
Generators |
[-109395:59191:125] |
Generators of the group modulo torsion |
j |
15698803397448457/20709376 |
j-invariant |
L |
12.432474435589 |
L(r)(E,1)/r! |
Ω |
0.12258708135031 |
Real period |
R |
5.6343051536324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996901 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7742g3 1422i3 |
Quadratic twists by: -3 -7 |