Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
32340l |
Isogeny class |
Conductor |
32340 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-34786456320 = -1 · 28 · 3 · 5 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ 0 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1045,-15455] |
[a1,a2,a3,a4,a6] |
j |
-4194304/1155 |
j-invariant |
L |
1.6555395493741 |
L(r)(E,1)/r! |
Ω |
0.41388488734383 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129360hu1 97020bq1 4620i1 |
Quadratic twists by: -4 -3 -7 |