Atkin-Lehner |
2+ 3- 5- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
34170k |
Isogeny class |
Conductor |
34170 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-184518000000 = -1 · 27 · 34 · 56 · 17 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 2 1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-363463,-84371062] |
[a1,a2,a3,a4,a6] |
j |
-5310098965488863658601/184518000000 |
j-invariant |
L |
2.3332748035558 |
L(r)(E,1)/r! |
Ω |
0.097219783481154 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102510r1 |
Quadratic twists by: -3 |