Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8670r |
Isogeny class |
Conductor |
8670 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
60479817013470 = 2 · 3 · 5 · 1710 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-47980,4007855] |
[a1,a2,a3,a4,a6] |
Generators |
[17990:840437:8] |
Generators of the group modulo torsion |
j |
506071034209/2505630 |
j-invariant |
L |
5.708465286841 |
L(r)(E,1)/r! |
Ω |
0.62715919548526 |
Real period |
R |
9.1020993201321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69360do3 26010f3 43350bb3 510f4 |
Quadratic twists by: -4 -3 5 17 |