Atkin-Lehner |
2- 3+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
23664g |
Isogeny class |
Conductor |
23664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7040961370902528 = 212 · 320 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -4 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-61752,4331952] |
[a1,a2,a3,a4,a6] |
j |
6358049149169593/1718984709693 |
j-invariant |
L |
0.78357365436297 |
L(r)(E,1)/r! |
Ω |
0.39178682718149 |
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 |
1479d3 94656bv3 70992bj3 |
Quadratic twists by: -4 8 -3 |