Atkin-Lehner |
2- 3+ 5- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
15180h |
Isogeny class |
Conductor |
15180 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
16253165280000 = 28 · 3 · 54 · 112 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11+ 6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8060,-197208] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:110:1] |
Generators of the group modulo torsion |
j |
226226123547856/63488926875 |
j-invariant |
L |
4.2737324364628 |
L(r)(E,1)/r! |
Ω |
0.51456673645705 |
Real period |
R |
2.0763742259599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60720de2 45540o2 75900s2 |
Quadratic twists by: -4 -3 5 |