Atkin-Lehner |
2+ 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
67518r |
Isogeny class |
Conductor |
67518 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-10044616925299968 = -1 · 28 · 321 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 11- -2 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-74322,9187668] |
[a1,a2,a3,a4,a6] |
j |
-514714335771625/113872925952 |
j-invariant |
L |
1.5576231071681 |
L(r)(E,1)/r! |
Ω |
0.38940577928053 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22506bk1 67518bx1 |
Quadratic twists by: -3 -11 |