Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
67518bx |
Isogeny class |
Conductor |
67518 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7096320 |
Modular degree for the optimal curve |
Δ |
-1.7794651604801E+22 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11- 2 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8992985,-12201807175] |
[a1,a2,a3,a4,a6] |
Generators |
[2783223:68160844:729] |
Generators of the group modulo torsion |
j |
-514714335771625/113872925952 |
j-invariant |
L |
8.0841514734103 |
L(r)(E,1)/r! |
Ω |
0.043082360912342 |
Real period |
R |
11.727757171539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986458 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22506o1 67518r1 |
Quadratic twists by: -3 -11 |