Atkin-Lehner |
2- 3- 5+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
82650cr |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
840 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-870036714000000000 = -1 · 210 · 37 · 59 · 193 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 0 3 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-34713,44943417] |
[a1,a2,a3,a4,a6] |
Generators |
[1482:56259:1] |
Generators of the group modulo torsion |
j |
-296060803157449/55682349696000 |
j-invariant |
L |
11.3348246467 |
L(r)(E,1)/r! |
Ω |
0.22942303641612 |
Real period |
R |
0.058816407758454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000451 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16530f1 |
Quadratic twists by: 5 |