Atkin-Lehner |
2+ 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
92736v |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-51920289792 = -1 · 214 · 39 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -3 4 -8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-864,-14688] |
[a1,a2,a3,a4,a6] |
Generators |
[1045776:16591527:4096] |
Generators of the group modulo torsion |
j |
-221184/161 |
j-invariant |
L |
8.1150307311102 |
L(r)(E,1)/r! |
Ω |
0.42669209377518 |
Real period |
R |
9.5092349444756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999923516 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92736cw1 5796c1 92736o1 |
Quadratic twists by: -4 8 -3 |