Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
32340p |
Isogeny class |
Conductor |
32340 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
20008548488544000 = 28 · 3 · 53 · 76 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-76260,4428600] |
[a1,a2,a3,a4,a6] |
j |
1628514404944/664335375 |
j-invariant |
L |
2.0927901163291 |
L(r)(E,1)/r! |
Ω |
0.34879835272158 |
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 |
129360if4 97020by4 660c4 |
Quadratic twists by: -4 -3 -7 |