Atkin-Lehner |
2+ 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
34272s |
Isogeny class |
Conductor |
34272 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
258992681472 = 29 · 36 · 74 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 6 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2595,44602] |
[a1,a2,a3,a4,a6] |
j |
5177717000/693889 |
j-invariant |
L |
3.7840667514923 |
L(r)(E,1)/r! |
Ω |
0.94601668787428 |
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 |
34272k2 68544eq2 3808b2 |
Quadratic twists by: -4 8 -3 |