Atkin-Lehner |
2+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
67424a |
Isogeny class |
Conductor |
67424 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-97454784448 = -1 · 26 · 77 · 432 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 0 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-245,15092] |
[a1,a2,a3,a4,a6] |
j |
-216000/12943 |
j-invariant |
L |
1.7633517593767 |
L(r)(E,1)/r! |
Ω |
0.88167588210861 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67424p1 9632d1 |
Quadratic twists by: -4 -7 |