Atkin-Lehner |
2- 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840ed |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
-104633856000000 = -1 · 215 · 35 · 56 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 -4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5535,467775] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:360:1] [-30:525:1] |
Generators of the group modulo torsion |
j |
572200439608/3193171875 |
j-invariant |
L |
8.8731527407023 |
L(r)(E,1)/r! |
Ω |
0.43025147624647 |
Real period |
R |
0.34371963183454 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27840da2 13920c2 83520fm2 |
Quadratic twists by: -4 8 -3 |