Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
22080da |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
6 |
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] |
Generators |
[-2:27:1] |
Generators of the group modulo torsion |
j |
87228416/83835 |
j-invariant |
L |
7.3793989441092 |
L(r)(E,1)/r! |
Ω |
0.99849045545389 |
Real period |
R |
1.23175921943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22080o1 5520o1 66240ek1 110400fn1 |
Quadratic twists by: -4 8 -3 5 |