Atkin-Lehner |
2- 5+ 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
88880g |
Isogeny class |
Conductor |
88880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
186691051250000 = 24 · 57 · 114 · 1012 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21968,1066983] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:1390:1] |
Generators of the group modulo torsion |
j |
73278283746115584/11668190703125 |
j-invariant |
L |
2.819834570288 |
L(r)(E,1)/r! |
Ω |
0.54330457293194 |
Real period |
R |
5.1901542998086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017659 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22220c1 |
Quadratic twists by: -4 |