Atkin-Lehner |
2+ 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
86848j |
Isogeny class |
Conductor |
86848 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
113923054370816 = 220 · 232 · 593 |
Discriminant |
Eigenvalues |
2+ 0 2 2 4 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-280410764,1807341140720] |
[a1,a2,a3,a4,a6] |
Generators |
[2522852700588:52043043320:260917119] |
Generators of the group modulo torsion |
j |
9301817879792089410385017/434581964 |
j-invariant |
L |
8.7338254783272 |
L(r)(E,1)/r! |
Ω |
0.22079339836114 |
Real period |
R |
13.185517240441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999957958 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86848o2 2714a2 |
Quadratic twists by: -4 8 |