Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400jm |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-416492280000 = -1 · 26 · 39 · 54 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -6 -5 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1867,-87] |
[a1,a2,a3,a4,a6] |
Generators |
[64:621:1] |
Generators of the group modulo torsion |
j |
17983078400/10412307 |
j-invariant |
L |
7.5685821229164 |
L(r)(E,1)/r! |
Ω |
0.56242429949737 |
Real period |
R |
0.74761489656311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002691 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400bw1 27600cd1 110400fq1 |
Quadratic twists by: -4 8 5 |