Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640dk |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
5404900589180006400 = 212 · 310 · 52 · 197 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 6 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-439096,-5706220] |
[a1,a2,a3,a4,a6] |
j |
48587168449/28048275 |
j-invariant |
L |
4.048380029877 |
L(r)(E,1)/r! |
Ω |
0.20241899650774 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5415c2 4560k2 |
Quadratic twists by: -4 -19 |