Atkin-Lehner |
2- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
71050cn |
Isogeny class |
Conductor |
71050 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2304000 |
Modular degree for the optimal curve |
Δ |
-2969521055112500000 = -1 · 25 · 58 · 710 · 292 |
Discriminant |
Eigenvalues |
2- 3 5- 7- -3 0 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,27945,82882447] |
[a1,a2,a3,a4,a6] |
Generators |
[-10635:93406:27] |
Generators of the group modulo torsion |
j |
52517295/64615712 |
j-invariant |
L |
17.197210727378 |
L(r)(E,1)/r! |
Ω |
0.19841200931634 |
Real period |
R |
4.3337121543882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71050z1 10150p1 |
Quadratic twists by: 5 -7 |