Atkin-Lehner |
2+ 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840o |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
5546763878400 = 218 · 39 · 52 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4428,-4752] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:260:1] [-12:216:1] |
Generators of the group modulo torsion |
j |
1860867/1075 |
j-invariant |
L |
9.747718663149 |
L(r)(E,1)/r! |
Ω |
0.6393888704827 |
Real period |
R |
3.8113420166374 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999948549 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840dq1 1935d1 123840bd1 |
Quadratic twists by: -4 8 -3 |