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 |
21818242498590720 = 211 · 37 · 5 · 78 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-980643,-373711102] |
[a1,a2,a3,a4,a6] |
Generators |
[-569:234:1] [1186:11466:1] |
Generators of the group modulo torsion |
j |
69855246474511682/14613770535 |
j-invariant |
L |
9.9295890415273 |
L(r)(E,1)/r! |
Ω |
0.15171456406482 |
Real period |
R |
4.0905717847273 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999951 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32760j6 21840j6 |
Quadratic twists by: -4 -3 |