Atkin-Lehner |
2+ 3+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
105120b |
Isogeny class |
Conductor |
105120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5045760000 = 212 · 33 · 54 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -2 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1068,-12992] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:21:1] [-18:20:1] |
Generators of the group modulo torsion |
j |
1218186432/45625 |
j-invariant |
L |
10.475734257203 |
L(r)(E,1)/r! |
Ω |
0.83706018235995 |
Real period |
R |
3.128727921354 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996082 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105120a2 105120s2 |
Quadratic twists by: -4 -3 |