Atkin-Lehner |
2+ 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520r |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-17332629350400 = -1 · 211 · 312 · 52 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 13- -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2157,-196558] |
[a1,a2,a3,a4,a6] |
Generators |
[127:1458:1] |
Generators of the group modulo torsion |
j |
743389918/11609325 |
j-invariant |
L |
4.5496861232463 |
L(r)(E,1)/r! |
Ω |
0.33823517209573 |
Real period |
R |
1.6814063476355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000887 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32760m2 21840h2 |
Quadratic twists by: -4 -3 |