Atkin-Lehner |
2+ 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24024r |
Isogeny class |
Conductor |
24024 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-17902435719168 = -1 · 211 · 38 · 7 · 114 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,616,-203280] |
[a1,a2,a3,a4,a6] |
j |
12601744846/8741423691 |
j-invariant |
L |
2.5794228156273 |
L(r)(E,1)/r! |
Ω |
0.32242785195342 |
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 |
48048b3 72072bh3 |
Quadratic twists by: -4 -3 |