Atkin-Lehner |
2+ 3+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66066h |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
152672303987164962 = 2 · 316 · 7 · 117 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11- 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1308496,-576350474] |
[a1,a2,a3,a4,a6] |
j |
139857357356642017/86179535442 |
j-invariant |
L |
1.1293081302189 |
L(r)(E,1)/r! |
Ω |
0.14116351846956 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006w4 |
Quadratic twists by: -11 |