Atkin-Lehner |
2+ 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520ba |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
11517960169497600 = 210 · 38 · 52 · 74 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-68043,-4473142] |
[a1,a2,a3,a4,a6] |
Generators |
[419:-6370:1] [-197:1134:1] |
Generators of the group modulo torsion |
j |
46670944188964/15429366225 |
j-invariant |
L |
9.9295890415273 |
L(r)(E,1)/r! |
Ω |
0.30342912812964 |
Real period |
R |
1.0226429461818 |
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 |
32760j3 21840j3 |
Quadratic twists by: -4 -3 |