Atkin-Lehner |
2- 5+ 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
88880k |
Isogeny class |
Conductor |
88880 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
248640 |
Modular degree for the optimal curve |
Δ |
-98410213550000 = -1 · 24 · 55 · 117 · 101 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 11- 5 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22221,-1353980] |
[a1,a2,a3,a4,a6] |
Generators |
[3076:170368:1] |
Generators of the group modulo torsion |
j |
-75842749993713664/6150638346875 |
j-invariant |
L |
5.3789297036542 |
L(r)(E,1)/r! |
Ω |
0.19460976634498 |
Real period |
R |
3.9485095919887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998129 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22220a1 |
Quadratic twists by: -4 |