Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600ee |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
24786000000000 = 210 · 36 · 59 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7333,29963] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:504:1] |
Generators of the group modulo torsion |
j |
21807104/12393 |
j-invariant |
L |
8.9481085666872 |
L(r)(E,1)/r! |
Ω |
0.57749290057948 |
Real period |
R |
2.5824584619682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996859 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600gv1 5100h1 81600bu1 |
Quadratic twists by: -4 8 5 |