Atkin-Lehner |
3- 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
129591g |
Isogeny class |
Conductor |
129591 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2154240 |
Modular degree for the optimal curve |
Δ |
-1.7084581372575E+19 |
Discriminant |
Eigenvalues |
-1 3- 1 7+ 11+ -3 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2919632,1931172752] |
[a1,a2,a3,a4,a6] |
Generators |
[1180:10723:1] |
Generators of the group modulo torsion |
j |
-1601202365099/9938999 |
j-invariant |
L |
3.7040880820386 |
L(r)(E,1)/r! |
Ω |
0.22039668132525 |
Real period |
R |
0.84032300536992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000133752 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14399a1 129591q1 |
Quadratic twists by: -3 -11 |