Atkin-Lehner |
2+ 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
1518j |
Isogeny class |
Conductor |
1518 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
168 |
Modular degree for the optimal curve |
Δ |
-97152 = -1 · 27 · 3 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 3 11- 1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,10,8] |
[a1,a2,a3,a4,a6] |
j |
127263527/97152 |
j-invariant |
L |
2.1603496229763 |
L(r)(E,1)/r! |
Ω |
2.1603496229763 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12144q1 48576m1 4554ba1 37950cb1 |
Quadratic twists by: -4 8 -3 5 |