Atkin-Lehner |
2- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
87616x |
Isogeny class |
Conductor |
87616 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-358875136 = -1 · 218 · 372 |
Discriminant |
Eigenvalues |
2- 0 1 -2 -2 -2 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,148,592] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:11:1] [12:64:1] |
Generators of the group modulo torsion |
j |
999 |
j-invariant |
L |
10.605590922893 |
L(r)(E,1)/r! |
Ω |
1.120757824068 |
Real period |
R |
4.7314373789064 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87616a1 21904f1 87616y1 |
Quadratic twists by: -4 8 37 |