Atkin-Lehner |
2- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
81862j |
Isogeny class |
Conductor |
81862 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-327448 = -1 · 23 · 11 · 612 |
Discriminant |
Eigenvalues |
2- -2 0 -2 11- -1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-108,424] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-2:1] |
Generators of the group modulo torsion |
j |
-37461625/88 |
j-invariant |
L |
5.3711325503292 |
L(r)(E,1)/r! |
Ω |
3.0548867153021 |
Real period |
R |
0.58607001949655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998859 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81862d1 |
Quadratic twists by: 61 |