Atkin-Lehner |
2+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
46784o |
Isogeny class |
Conductor |
46784 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-11976704 = -1 · 214 · 17 · 43 |
Discriminant |
Eigenvalues |
2+ -3 -1 4 0 3 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28,-176] |
[a1,a2,a3,a4,a6] |
j |
-148176/731 |
j-invariant |
L |
1.8749345850826 |
L(r)(E,1)/r! |
Ω |
0.93746729268484 |
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 |
46784bf1 5848h1 |
Quadratic twists by: -4 8 |