Atkin-Lehner |
2+ 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22080y |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
-139072204800 = -1 · 212 · 310 · 52 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -6 -2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,119,17975] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:96:1] [-13:120:1] |
Generators of the group modulo torsion |
j |
45118016/33953175 |
j-invariant |
L |
7.8533305088076 |
L(r)(E,1)/r! |
Ω |
0.80755417578677 |
Real period |
R |
0.48624171258586 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22080i1 11040c1 66240dc1 110400be1 |
Quadratic twists by: -4 8 -3 5 |