Atkin-Lehner |
2- 5+ 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
88880i |
Isogeny class |
Conductor |
88880 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
22464 |
Modular degree for the optimal curve |
Δ |
-2222000 = -1 · 24 · 53 · 11 · 101 |
Discriminant |
Eigenvalues |
2- -3 5+ -2 11+ -3 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,32,-17] |
[a1,a2,a3,a4,a6] |
Generators |
[1:4:1] |
Generators of the group modulo torsion |
j |
226492416/138875 |
j-invariant |
L |
2.6929800363438 |
L(r)(E,1)/r! |
Ω |
1.5036771876748 |
Real period |
R |
1.790929635377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959033 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22220d1 |
Quadratic twists by: -4 |