Atkin-Lehner |
2+ 3- 23+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
36846f |
Isogeny class |
Conductor |
36846 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
91392 |
Modular degree for the optimal curve |
Δ |
1760345063424 = 217 · 38 · 23 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 1 -4 6 -3 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3429,44437] |
[a1,a2,a3,a4,a6] |
j |
6117442271569/2414739456 |
j-invariant |
L |
1.5235449278354 |
L(r)(E,1)/r! |
Ω |
0.76177246390148 |
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 |
12282h1 |
Quadratic twists by: -3 |