Atkin-Lehner |
2- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
67270ba |
Isogeny class |
Conductor |
67270 |
Conductor |
∏ cp |
58 |
Product of Tamagawa factors cp |
deg |
311808 |
Modular degree for the optimal curve |
Δ |
559787246878720 = 229 · 5 · 7 · 313 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 1 -1 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-86541,-9768701] |
[a1,a2,a3,a4,a6] |
Generators |
[-169:-172:1] |
Generators of the group modulo torsion |
j |
2406050132401999/18790481920 |
j-invariant |
L |
6.0883553402692 |
L(r)(E,1)/r! |
Ω |
0.27848292179673 |
Real period |
R |
0.37694104584965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000421 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67270z1 |
Quadratic twists by: -31 |