Atkin-Lehner |
2- 3+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
24024u |
Isogeny class |
Conductor |
24024 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
62945029475328 = 210 · 3 · 72 · 114 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11- 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9952,-14948] |
[a1,a2,a3,a4,a6] |
j |
106462949943172/61469755347 |
j-invariant |
L |
2.0872350159402 |
L(r)(E,1)/r! |
Ω |
0.52180875398505 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48048y4 72072h4 |
Quadratic twists by: -4 -3 |