Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
110880r |
Isogeny class |
Conductor |
110880 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
7229829809664000 = 212 · 39 · 53 · 72 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48492,-396576] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:1540:1] |
Generators of the group modulo torsion |
j |
156416571072/89676125 |
j-invariant |
L |
7.2678606450803 |
L(r)(E,1)/r! |
Ω |
0.34910708597985 |
Real period |
R |
0.43371724490723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954034 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110880co2 110880ca2 |
Quadratic twists by: -4 -3 |