Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
89298cs |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
7624826888976 = 24 · 38 · 116 · 41 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9824,352883] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:721:1] |
Generators of the group modulo torsion |
j |
81182737/5904 |
j-invariant |
L |
10.006594874357 |
L(r)(E,1)/r! |
Ω |
0.72624439191721 |
Real period |
R |
3.4446375690503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007511 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29766t1 738c1 |
Quadratic twists by: -3 -11 |