Atkin-Lehner |
2- 7- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
127568bb |
Isogeny class |
Conductor |
127568 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
9735096784 = 24 · 7 · 172 · 673 |
Discriminant |
Eigenvalues |
2- 1 -3 7- 2 1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6417,195674] |
[a1,a2,a3,a4,a6] |
Generators |
[34:134:1] [362:17:8] |
Generators of the group modulo torsion |
j |
1826701243138048/608443549 |
j-invariant |
L |
12.12497007385 |
L(r)(E,1)/r! |
Ω |
1.2661993113546 |
Real period |
R |
1.5959796600852 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999955755 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31892a1 |
Quadratic twists by: -4 |