Atkin-Lehner |
2+ 3- 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
82650t |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1492992 |
Modular degree for the optimal curve |
Δ |
3907533312000000000 = 218 · 36 · 59 · 192 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-796776,256630198] |
[a1,a2,a3,a4,a6] |
Generators |
[-919:15051:1] |
Generators of the group modulo torsion |
j |
3580235831740822129/250082131968000 |
j-invariant |
L |
5.2103858578561 |
L(r)(E,1)/r! |
Ω |
0.24304536678077 |
Real period |
R |
1.7864928966733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003796 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16530t1 |
Quadratic twists by: 5 |