Atkin-Lehner |
2- 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
67680bc |
Isogeny class |
Conductor |
67680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
-1545946560 = -1 · 26 · 37 · 5 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 2 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-237,2356] |
[a1,a2,a3,a4,a6] |
Generators |
[5:36:1] |
Generators of the group modulo torsion |
j |
-31554496/33135 |
j-invariant |
L |
6.561618332843 |
L(r)(E,1)/r! |
Ω |
1.3691243839744 |
Real period |
R |
1.1981413832035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67680j1 22560b1 |
Quadratic twists by: -4 -3 |