Atkin-Lehner |
2- 3- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
129150cr |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
6914880 |
Modular degree for the optimal curve |
Δ |
8.0658028059034E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 0 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4354355,-3218239853] |
[a1,a2,a3,a4,a6] |
j |
801581275315909089/70810888830976 |
j-invariant |
L |
2.2071422202981 |
L(r)(E,1)/r! |
Ω |
0.10510206881642 |
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 |
14350b1 5166r1 |
Quadratic twists by: -3 5 |