Atkin-Lehner |
2+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
66880bo |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
7911401062400 = 222 · 52 · 11 · 193 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 11- -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-101025,12392225] |
[a1,a2,a3,a4,a6] |
Generators |
[12425:1016280:343] |
Generators of the group modulo torsion |
j |
434985385981609/30179600 |
j-invariant |
L |
10.936769330373 |
L(r)(E,1)/r! |
Ω |
0.70253202227262 |
Real period |
R |
7.7838226470112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999453 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880dg1 2090d1 |
Quadratic twists by: -4 8 |