Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65520cm |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
22254240153600 = 214 · 38 · 52 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26283,1624282] |
[a1,a2,a3,a4,a6] |
Generators |
[21:1040:1] |
Generators of the group modulo torsion |
j |
672451615081/7452900 |
j-invariant |
L |
5.7322595792253 |
L(r)(E,1)/r! |
Ω |
0.68087026029632 |
Real period |
R |
1.0523773604881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000526 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8190bh2 21840cc2 |
Quadratic twists by: -4 -3 |