Atkin-Lehner |
2+ 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
3504h |
Isogeny class |
Conductor |
3504 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
-338911183763500032 = -1 · 210 · 37 · 736 |
Discriminant |
Eigenvalues |
2+ 3- 4 0 2 -2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-83016,29455812] |
[a1,a2,a3,a4,a6] |
j |
-61789459762658596/330967952894043 |
j-invariant |
L |
3.6833140732055 |
L(r)(E,1)/r! |
Ω |
0.26309386237182 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1752d2 14016bj2 10512g2 87600h2 |
Quadratic twists by: -4 8 -3 5 |