Atkin-Lehner |
2+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
67424d |
Isogeny class |
Conductor |
67424 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
-1015342870528 = -1 · 212 · 78 · 43 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 3 -5 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5096,148176] |
[a1,a2,a3,a4,a6] |
Generators |
[56:196:1] |
Generators of the group modulo torsion |
j |
-30371328/2107 |
j-invariant |
L |
3.6071573894097 |
L(r)(E,1)/r! |
Ω |
0.86218566233951 |
Real period |
R |
1.0459340567129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989133 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67424k1 9632a1 |
Quadratic twists by: -4 -7 |