Atkin-Lehner |
3+ 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
43095b |
Isogeny class |
Conductor |
43095 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28224 |
Modular degree for the optimal curve |
Δ |
-16000871835 = -1 · 3 · 5 · 137 · 17 |
Discriminant |
Eigenvalues |
0 3+ 5+ -2 -2 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-901,-11763] |
[a1,a2,a3,a4,a6] |
j |
-16777216/3315 |
j-invariant |
L |
0.86213269485515 |
L(r)(E,1)/r! |
Ω |
0.43106634747934 |
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 |
129285bb1 3315d1 |
Quadratic twists by: -3 13 |