Atkin-Lehner |
2+ 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520ba |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
78237563040000 = 28 · 310 · 54 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27543,1707158] |
[a1,a2,a3,a4,a6] |
Generators |
[1:1296:1] [61:504:1] |
Generators of the group modulo torsion |
j |
12381975627856/419225625 |
j-invariant |
L |
9.9295890415273 |
L(r)(E,1)/r! |
Ω |
0.60685825625929 |
Real period |
R |
4.0905717847273 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999951 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32760j2 21840j2 |
Quadratic twists by: -4 -3 |