Atkin-Lehner |
2- 3- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
74562bg |
Isogeny class |
Conductor |
74562 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
509184 |
Modular degree for the optimal curve |
Δ |
-979061508359232 = -1 · 26 · 3 · 179 · 43 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 2 -5 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-70522,7357988] |
[a1,a2,a3,a4,a6] |
j |
-327082769/8256 |
j-invariant |
L |
5.9252129928879 |
L(r)(E,1)/r! |
Ω |
0.49376774871617 |
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 |
74562v1 |
Quadratic twists by: 17 |