Atkin-Lehner |
2- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
1708a |
Isogeny class |
Conductor |
1708 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
406749952 = 28 · 7 · 613 |
Discriminant |
Eigenvalues |
2- 1 0 7- 3 2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1468,-22124] |
[a1,a2,a3,a4,a6] |
j |
1367595682000/1588867 |
j-invariant |
L |
2.3139018902985 |
L(r)(E,1)/r! |
Ω |
0.77130063009952 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6832f2 27328f2 15372f2 42700d2 |
Quadratic twists by: -4 8 -3 5 |