Atkin-Lehner |
2+ 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
29050g |
Isogeny class |
Conductor |
29050 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-61030418750000 = -1 · 24 · 58 · 76 · 83 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 0 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3076,381298] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:667:1] |
Generators of the group modulo torsion |
j |
-8236063705/156237872 |
j-invariant |
L |
5.1712398674681 |
L(r)(E,1)/r! |
Ω |
0.52486867121165 |
Real period |
R |
2.463111322462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
29050m1 |
Quadratic twists by: 5 |