Atkin-Lehner |
2+ 3+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
3408a |
Isogeny class |
Conductor |
3408 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-119252736 = -1 · 28 · 38 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 0 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-84,-576] |
[a1,a2,a3,a4,a6] |
j |
-259108432/465831 |
j-invariant |
L |
0.74307188514555 |
L(r)(E,1)/r! |
Ω |
0.74307188514555 |
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 |
1704d1 13632r1 10224a1 85200x1 |
Quadratic twists by: -4 8 -3 5 |