Atkin-Lehner |
2+ 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840bk |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
437760 |
Modular degree for the optimal curve |
Δ |
-539289320688000000 = -1 · 210 · 319 · 56 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -3 -3 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-885081,-322732881] |
[a1,a2,a3,a4,a6] |
j |
-74881286942075067136/526649727234375 |
j-invariant |
L |
2.9561393590127 |
L(r)(E,1)/r! |
Ω |
0.077793141026663 |
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 |
27840ci1 1740d1 83520cz1 |
Quadratic twists by: -4 8 -3 |