Atkin-Lehner |
2+ 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840bm |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-24658862400 = -1 · 26 · 312 · 52 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,724,-726] |
[a1,a2,a3,a4,a6] |
j |
654876557504/385294725 |
j-invariant |
L |
4.2121326431428 |
L(r)(E,1)/r! |
Ω |
0.70202210719047 |
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 |
27840j1 13920h4 83520de1 |
Quadratic twists by: -4 8 -3 |