Atkin-Lehner |
2+ 3- 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
89352d |
Isogeny class |
Conductor |
89352 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-3513153636108288 = -1 · 211 · 314 · 173 · 73 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 -3 1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,34269,-1473154] |
[a1,a2,a3,a4,a6] |
j |
2981058687934/2353096089 |
j-invariant |
L |
0.49463511873701 |
L(r)(E,1)/r! |
Ω |
0.24731757498152 |
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 |
29784i1 |
Quadratic twists by: -3 |