Atkin-Lehner |
2+ 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
81984bh |
Isogeny class |
Conductor |
81984 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
12379169488896 = 230 · 33 · 7 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16737,810495] |
[a1,a2,a3,a4,a6] |
j |
1978074236377/47222784 |
j-invariant |
L |
2.1323994713096 |
L(r)(E,1)/r! |
Ω |
0.71079982192837 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81984bq1 2562c1 |
Quadratic twists by: -4 8 |