Atkin-Lehner |
2+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24752k |
Isogeny class |
Conductor |
24752 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
576632106272768 = 211 · 78 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ 2 4 7- 6 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20816,-32032] |
[a1,a2,a3,a4,a6] |
j |
487086912609698/281558645641 |
j-invariant |
L |
6.9548733085983 |
L(r)(E,1)/r! |
Ω |
0.43467958178738 |
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 |
12376i2 99008df2 |
Quadratic twists by: -4 8 |