Atkin-Lehner |
2+ 3+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
86592w |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
952512 = 26 · 3 · 112 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19844,-1069362] |
[a1,a2,a3,a4,a6] |
Generators |
[243:2898:1] |
Generators of the group modulo torsion |
j |
13503715467035968/14883 |
j-invariant |
L |
4.6505428200272 |
L(r)(E,1)/r! |
Ω |
0.40224478875466 |
Real period |
R |
5.7807371910122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999996021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86592bi1 43296o4 |
Quadratic twists by: -4 8 |