Atkin-Lehner |
2+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
129472br |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
4935168 |
Modular degree for the optimal curve |
Δ |
1.8015806355292E+19 |
Discriminant |
Eigenvalues |
2+ 3 0 7- 2 4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-761515,154012724] |
[a1,a2,a3,a4,a6] |
Generators |
[-39882:3667699:216] |
Generators of the group modulo torsion |
j |
109392552000/40353607 |
j-invariant |
L |
15.330373011077 |
L(r)(E,1)/r! |
Ω |
0.19957057595721 |
Real period |
R |
2.8450666696482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999842283 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129472w1 64736x1 129472p1 |
Quadratic twists by: -4 8 17 |