Atkin-Lehner |
2- 3- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
76752cl |
Isogeny class |
Conductor |
76752 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
72960 |
Modular degree for the optimal curve |
Δ |
-532683670896 = -1 · 24 · 37 · 135 · 41 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 0 13- 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,231,-35089] |
[a1,a2,a3,a4,a6] |
Generators |
[38:169:1] |
Generators of the group modulo torsion |
j |
116872448/45669039 |
j-invariant |
L |
4.5390397024157 |
L(r)(E,1)/r! |
Ω |
0.43378711828655 |
Real period |
R |
1.046374941012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985174 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19188t1 25584q1 |
Quadratic twists by: -4 -3 |