Atkin-Lehner |
3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
127449bv |
Isogeny class |
Conductor |
127449 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4935168 |
Modular degree for the optimal curve |
Δ |
2.0521129426575E+20 |
Discriminant |
Eigenvalues |
1 3- 4 7- 0 2 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1489560,-120485107] |
[a1,a2,a3,a4,a6] |
j |
610929/343 |
j-invariant |
L |
4.7029797101569 |
L(r)(E,1)/r! |
Ω |
0.14696814953146 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14161d1 18207c1 127449bj1 |
Quadratic twists by: -3 -7 17 |