Atkin-Lehner |
2- 3+ 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
82650bk |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
-7748437500 = -1 · 22 · 32 · 58 · 19 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 2 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,37,-4219] |
[a1,a2,a3,a4,a6] |
Generators |
[111:1120:1] |
Generators of the group modulo torsion |
j |
357911/495900 |
j-invariant |
L |
9.5692861861264 |
L(r)(E,1)/r! |
Ω |
0.61253856666861 |
Real period |
R |
3.9055851758842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003734 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16530n1 |
Quadratic twists by: 5 |