Atkin-Lehner |
2- 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22080cc |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-97049735331840 = -1 · 224 · 37 · 5 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -2 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10655,209665] |
[a1,a2,a3,a4,a6] |
Generators |
[1131:38180:1] |
Generators of the group modulo torsion |
j |
510273943271/370215360 |
j-invariant |
L |
3.6754621373064 |
L(r)(E,1)/r! |
Ω |
0.38161037648087 |
Real period |
R |
4.8157261487498 |
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 |
22080bq1 5520z1 66240fe1 110400ip1 |
Quadratic twists by: -4 8 -3 5 |