Atkin-Lehner |
2+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
66880bi |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
342425600 = 216 · 52 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 11+ 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-225,-1025] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:16:1] |
Generators of the group modulo torsion |
j |
19307236/5225 |
j-invariant |
L |
4.7468270192415 |
L(r)(E,1)/r! |
Ω |
1.2572143318079 |
Real period |
R |
1.8878352321931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983803 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880dk1 8360j1 |
Quadratic twists by: -4 8 |