Atkin-Lehner |
2+ 3+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
69090j |
Isogeny class |
Conductor |
69090 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-11697097485982860 = -1 · 22 · 38 · 5 · 79 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,9383,-5187839] |
[a1,a2,a3,a4,a6] |
Generators |
[245:3326:1] |
Generators of the group modulo torsion |
j |
2263571297/289864980 |
j-invariant |
L |
4.5028149230286 |
L(r)(E,1)/r! |
Ω |
0.19041505033176 |
Real period |
R |
5.9118422029642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001122 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69090s2 |
Quadratic twists by: -7 |