Atkin-Lehner |
2- 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
67680bd |
Isogeny class |
Conductor |
67680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-3390001087057920 = -1 · 212 · 313 · 5 · 473 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -2 -1 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,23748,-2421376] |
[a1,a2,a3,a4,a6] |
Generators |
[130:1692:1] |
Generators of the group modulo torsion |
j |
496040751296/1135304505 |
j-invariant |
L |
7.0583947796145 |
L(r)(E,1)/r! |
Ω |
0.23113522868139 |
Real period |
R |
0.63620717655019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000088 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67680z1 22560a1 |
Quadratic twists by: -4 -3 |