Atkin-Lehner |
2+ 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
81344a |
Isogeny class |
Conductor |
81344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
25088 |
Modular degree for the optimal curve |
Δ |
161386496 = 212 · 312 · 41 |
Discriminant |
Eigenvalues |
2+ -2 2 2 2 -2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-137,55] |
[a1,a2,a3,a4,a6] |
Generators |
[15:40:1] |
Generators of the group modulo torsion |
j |
69934528/39401 |
j-invariant |
L |
6.1138315125622 |
L(r)(E,1)/r! |
Ω |
1.5679216195708 |
Real period |
R |
1.9496610799896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999938815 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81344f1 40672a1 |
Quadratic twists by: -4 8 |