Atkin-Lehner |
3+ 5- 11+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36465g |
Isogeny class |
Conductor |
36465 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
7479541265625 = 34 · 56 · 112 · 132 · 172 |
Discriminant |
Eigenvalues |
1 3+ 5- 4 11+ 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-82877,-9216984] |
[a1,a2,a3,a4,a6] |
j |
62955541814419465561/7479541265625 |
j-invariant |
L |
1.6882809237228 |
L(r)(E,1)/r! |
Ω |
0.28138015395272 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
109395o2 |
Quadratic twists by: -3 |