Atkin-Lehner |
2- 3- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
58176cb |
Isogeny class |
Conductor |
58176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
-886021142740992 = -1 · 217 · 38 · 1013 |
Discriminant |
Eigenvalues |
2- 3- 4 -3 2 2 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43788,3806480] |
[a1,a2,a3,a4,a6] |
Generators |
[460:9000:1] |
Generators of the group modulo torsion |
j |
-97174336898/9272709 |
j-invariant |
L |
8.5478097414984 |
L(r)(E,1)/r! |
Ω |
0.48713005372618 |
Real period |
R |
4.3868211765042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998923 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58176t1 14544i1 19392bf1 |
Quadratic twists by: -4 8 -3 |