Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
8280i |
Isogeny class |
Conductor |
8280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
4527090000 = 24 · 39 · 54 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1164378,-483603127] |
[a1,a2,a3,a4,a6] |
Generators |
[60724:14961375:1] |
Generators of the group modulo torsion |
j |
14967807005098080256/388125 |
j-invariant |
L |
4.1541478731921 |
L(r)(E,1)/r! |
Ω |
0.14533695498906 |
Real period |
R |
7.1457185020572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16560k1 66240cx1 2760f1 41400bl1 |
Quadratic twists by: -4 8 -3 5 |