Atkin-Lehner |
2+ 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
86848j |
Isogeny class |
Conductor |
86848 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2267136 |
Modular degree for the optimal curve |
Δ |
-4069113562369359872 = -1 · 222 · 23 · 596 |
Discriminant |
Eigenvalues |
2+ 0 2 2 4 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17525644,28239802608] |
[a1,a2,a3,a4,a6] |
Generators |
[1829556:5797576:729] |
Generators of the group modulo torsion |
j |
-2270940454675200497337/15522436379888 |
j-invariant |
L |
8.7338254783272 |
L(r)(E,1)/r! |
Ω |
0.22079339836114 |
Real period |
R |
6.5927586202205 |
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 |
86848o1 2714a1 |
Quadratic twists by: -4 8 |