Atkin-Lehner |
2+ 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
84800bj |
Isogeny class |
Conductor |
84800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28160 |
Modular degree for the optimal curve |
Δ |
27136000 = 212 · 53 · 53 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 4 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-340,-2400] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:3:1] |
Generators of the group modulo torsion |
j |
8489664/53 |
j-invariant |
L |
4.137832863652 |
L(r)(E,1)/r! |
Ω |
1.1122262663255 |
Real period |
R |
1.8601578585477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009848 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84800bi1 42400d1 84800bc1 |
Quadratic twists by: -4 8 5 |