Atkin-Lehner |
2- 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840db |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
5345280 = 212 · 32 · 5 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 0 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-185,-903] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:1:1] |
Generators of the group modulo torsion |
j |
171879616/1305 |
j-invariant |
L |
4.1690508484105 |
L(r)(E,1)/r! |
Ω |
1.2945235981786 |
Real period |
R |
1.6102645229011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27840ec1 13920bb1 83520fl1 |
Quadratic twists by: -4 8 -3 |