Atkin-Lehner |
2+ 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22080o |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-1373552640 = -1 · 214 · 36 · 5 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 0 4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,235,-1203] |
[a1,a2,a3,a4,a6] |
j |
87228416/83835 |
j-invariant |
L |
1.6600466570569 |
L(r)(E,1)/r! |
Ω |
0.83002332852843 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22080da1 1380c1 66240bw1 110400dt1 |
Quadratic twists by: -4 8 -3 5 |