Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840bz |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
35 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-35235000000 = -1 · 26 · 35 · 57 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -1 -6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,315,-8667] |
[a1,a2,a3,a4,a6] |
Generators |
[36:225:1] |
Generators of the group modulo torsion |
j |
53838872576/550546875 |
j-invariant |
L |
6.3960524694689 |
L(r)(E,1)/r! |
Ω |
0.57240048404853 |
Real period |
R |
0.31925961169356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27840cx1 435b1 83520bn1 |
Quadratic twists by: -4 8 -3 |