Atkin-Lehner |
2- 3+ 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
36312h |
Isogeny class |
Conductor |
36312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
137011857408 = 211 · 32 · 174 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34272,-2430612] |
[a1,a2,a3,a4,a6] |
j |
2173826001945026/66900321 |
j-invariant |
L |
2.8070776434531 |
L(r)(E,1)/r! |
Ω |
0.3508847054325 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72624j4 108936c4 |
Quadratic twists by: -4 -3 |