Atkin-Lehner |
2- 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
8760f |
Isogeny class |
Conductor |
8760 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2112 |
Modular degree for the optimal curve |
Δ |
-56064000 = -1 · 211 · 3 · 53 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 4 0 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-96,480] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:24:1] |
Generators of the group modulo torsion |
j |
-48275138/27375 |
j-invariant |
L |
4.6309385131789 |
L(r)(E,1)/r! |
Ω |
1.8423922635567 |
Real period |
R |
2.5135464389321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17520b1 70080l1 26280c1 43800h1 |
Quadratic twists by: -4 8 -3 5 |