Atkin-Lehner |
2+ 3- 5- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
34170l |
Isogeny class |
Conductor |
34170 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-4085402901811200 = -1 · 212 · 33 · 52 · 173 · 673 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -3 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3038,-3076144] |
[a1,a2,a3,a4,a6] |
Generators |
[357:-6611:1] [165:877:1] |
Generators of the group modulo torsion |
j |
-3099427685357401/4085402901811200 |
j-invariant |
L |
7.1608311254586 |
L(r)(E,1)/r! |
Ω |
0.19843076013049 |
Real period |
R |
1.0024251057466 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102510u2 |
Quadratic twists by: -3 |