Atkin-Lehner |
2- 3+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
81984cb |
Isogeny class |
Conductor |
81984 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
76160 |
Modular degree for the optimal curve |
Δ |
-130708976832 = -1 · 26 · 314 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1793,-33417] |
[a1,a2,a3,a4,a6] |
j |
-9966135808000/2042327763 |
j-invariant |
L |
0.72564960549775 |
L(r)(E,1)/r! |
Ω |
0.3628248155408 |
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 |
81984x1 20496w1 |
Quadratic twists by: -4 8 |