Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
110880cc |
Isogeny class |
Conductor |
110880 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
282624 |
Modular degree for the optimal curve |
Δ |
358585920 = 26 · 33 · 5 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-207513,36384472] |
[a1,a2,a3,a4,a6] |
Generators |
[264:-28:1] |
Generators of the group modulo torsion |
j |
571894475133100608/207515 |
j-invariant |
L |
5.920842224755 |
L(r)(E,1)/r! |
Ω |
1.0197735151294 |
Real period |
R |
0.96767273910701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000068961 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110880cb1 110880t1 |
Quadratic twists by: -4 -3 |