Atkin-Lehner |
2- 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
67680bf |
Isogeny class |
Conductor |
67680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34816 |
Modular degree for the optimal curve |
Δ |
-701706240 = -1 · 212 · 36 · 5 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -2 -3 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-72,1296] |
[a1,a2,a3,a4,a6] |
Generators |
[0:36:1] |
Generators of the group modulo torsion |
j |
-13824/235 |
j-invariant |
L |
3.8525217784285 |
L(r)(E,1)/r! |
Ω |
1.3569355003959 |
Real period |
R |
0.70978351138477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004293 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67680k1 7520a1 |
Quadratic twists by: -4 -3 |