Atkin-Lehner |
2- 3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
67620b |
Isogeny class |
Conductor |
67620 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1717722459600 = 24 · 3 · 52 · 76 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-596101,177343426] |
[a1,a2,a3,a4,a6] |
Generators |
[-834:9680:1] |
Generators of the group modulo torsion |
j |
12444451776495616/912525 |
j-invariant |
L |
4.0569987786238 |
L(r)(E,1)/r! |
Ω |
0.63814236639239 |
Real period |
R |
6.3575136086027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000143 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1380d3 |
Quadratic twists by: -7 |