Atkin-Lehner |
2+ 3- 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
22878a |
Isogeny class |
Conductor |
22878 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8805888 |
Modular degree for the optimal curve |
Δ |
-2.051890860248E+26 |
Discriminant |
Eigenvalues |
2+ 3- -1 2 1 5 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-206859105,-1336484615171] |
[a1,a2,a3,a4,a6] |
Generators |
[550431087099005105:-51063106876494678013:25931707608799] |
Generators of the group modulo torsion |
j |
-1342827136102830253349982481/281466510322090477879296 |
j-invariant |
L |
4.2531645945955 |
L(r)(E,1)/r! |
Ω |
0.019683230792839 |
Real period |
R |
27.010076746031 |
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 |
7626g1 |
Quadratic twists by: -3 |