Atkin-Lehner |
2- 3+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
67320u |
Isogeny class |
Conductor |
67320 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
51595901757987840 = 210 · 39 · 5 · 116 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-206523,-34431642] |
[a1,a2,a3,a4,a6] |
j |
48332330688492/2559905645 |
j-invariant |
L |
2.6962960985914 |
L(r)(E,1)/r! |
Ω |
0.22469134121191 |
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 |
67320e2 |
Quadratic twists by: -3 |