Atkin-Lehner |
2- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
7504q |
Isogeny class |
Conductor |
7504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2480647921074176 = 217 · 710 · 67 |
Discriminant |
Eigenvalues |
2- 2 2 7+ 4 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-177352,-28588560] |
[a1,a2,a3,a4,a6] |
j |
150617170289589193/605626933856 |
j-invariant |
L |
4.1885902542929 |
L(r)(E,1)/r! |
Ω |
0.23269945857183 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
938b2 30016br2 67536bl2 52528bc2 |
Quadratic twists by: -4 8 -3 -7 |