Atkin-Lehner |
3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127449b |
Isogeny class |
Conductor |
127449 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-13657817187 = -1 · 39 · 74 · 172 |
Discriminant |
Eigenvalues |
0 3+ 0 7+ 0 5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,0,-5623] |
[a1,a2,a3,a4,a6] |
Generators |
[3588:26401:64] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
6.1542225580219 |
L(r)(E,1)/r! |
Ω |
0.57593515063867 |
Real period |
R |
5.3428085443144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000114418 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127449b1 127449g2 127449e2 |
Quadratic twists by: -3 -7 17 |