Atkin-Lehner |
2+ 3- 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
69090z |
Isogeny class |
Conductor |
69090 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3898299615000 = 23 · 3 · 54 · 76 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5073,-101972] |
[a1,a2,a3,a4,a6] |
Generators |
[88:323:1] |
Generators of the group modulo torsion |
j |
122689385209/33135000 |
j-invariant |
L |
6.6845348924642 |
L(r)(E,1)/r! |
Ω |
0.57714799117113 |
Real period |
R |
2.8955029711133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994495 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1410b2 |
Quadratic twists by: -7 |