Atkin-Lehner |
2- 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840ck |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-696000 = -1 · 26 · 3 · 53 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -5 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11,-39] |
[a1,a2,a3,a4,a6] |
j |
-2515456/10875 |
j-invariant |
L |
1.1828477699374 |
L(r)(E,1)/r! |
Ω |
1.1828477699376 |
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 |
27840dn1 13920p1 83520gn1 |
Quadratic twists by: -4 8 -3 |