Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600el |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
14347653120000000 = 218 · 36 · 57 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6141675,5858388250] |
[a1,a2,a3,a4,a6] |
Generators |
[1205:14400:1] |
Generators of the group modulo torsion |
j |
549131937598369/307520 |
j-invariant |
L |
6.0106790496742 |
L(r)(E,1)/r! |
Ω |
0.32515472238895 |
Real period |
R |
1.1553497914574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973697 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13950cq2 12400q2 22320by2 |
Quadratic twists by: -4 -3 5 |