Atkin-Lehner |
2+ 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608c |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
62600380416 = 217 · 33 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -2 4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25164,-1536400] |
[a1,a2,a3,a4,a6] |
j |
497953800342/17689 |
j-invariant |
L |
3.0324632469582 |
L(r)(E,1)/r! |
Ω |
0.37905790782364 |
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 |
76608dm2 9576a2 76608e2 |
Quadratic twists by: -4 8 -3 |