Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840cd |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-2255040 = -1 · 26 · 35 · 5 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -5 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,25,63] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:3:1] |
Generators of the group modulo torsion |
j |
25934336/35235 |
j-invariant |
L |
8.0259436649248 |
L(r)(E,1)/r! |
Ω |
1.750934740472 |
Real period |
R |
0.9167610281993 |
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 |
27840z1 13920w1 83520bu1 |
Quadratic twists by: -4 8 -3 |