Atkin-Lehner |
2- 5- 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
88880u |
Isogeny class |
Conductor |
88880 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
-556135669760000000 = -1 · 219 · 57 · 113 · 1012 |
Discriminant |
Eigenvalues |
2- -1 5- -1 11- 0 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,202480,7517632] |
[a1,a2,a3,a4,a6] |
Generators |
[354:-11110:1] [24:3520:1] |
Generators of the group modulo torsion |
j |
224134141362545519/135775310000000 |
j-invariant |
L |
9.5349937288823 |
L(r)(E,1)/r! |
Ω |
0.17916005432594 |
Real period |
R |
0.31678889173595 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999303 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11110h1 |
Quadratic twists by: -4 |