Atkin-Lehner |
2+ 3+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
81984l |
Isogeny class |
Conductor |
81984 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-4406452420608 = -1 · 219 · 39 · 7 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -3 -5 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5153,176289] |
[a1,a2,a3,a4,a6] |
j |
-57736239625/16809282 |
j-invariant |
L |
1.4713438201687 |
L(r)(E,1)/r! |
Ω |
0.73567192198878 |
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 |
81984cg1 2562e1 |
Quadratic twists by: -4 8 |