Atkin-Lehner |
2+ 3+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
68952h |
Isogeny class |
Conductor |
68952 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
434694481875883008 = 210 · 34 · 137 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 4 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-193392,8146332] |
[a1,a2,a3,a4,a6] |
j |
161838334948/87947613 |
j-invariant |
L |
4.1518612325855 |
L(r)(E,1)/r! |
Ω |
0.25949132721009 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5304k3 |
Quadratic twists by: 13 |