Atkin-Lehner |
2+ 3- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
81984v |
Isogeny class |
Conductor |
81984 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-3022258176 = -1 · 218 · 33 · 7 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ -4 2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,223,-2241] |
[a1,a2,a3,a4,a6] |
Generators |
[9:24:1] [19:-96:1] |
Generators of the group modulo torsion |
j |
4657463/11529 |
j-invariant |
L |
10.389143317732 |
L(r)(E,1)/r! |
Ω |
0.7353986582299 |
Real period |
R |
1.1772688642366 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000102 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81984bz1 1281b1 |
Quadratic twists by: -4 8 |