Atkin-Lehner |
2- 3- 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
36360t |
Isogeny class |
Conductor |
36360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
22260320363520 = 210 · 316 · 5 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -6 -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7347,-84994] |
[a1,a2,a3,a4,a6] |
j |
58752499396/29819745 |
j-invariant |
L |
1.0883087604208 |
L(r)(E,1)/r! |
Ω |
0.54415438021309 |
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 |
72720q1 12120b1 |
Quadratic twists by: -4 -3 |