Atkin-Lehner |
2+ 3- 5- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
82650ba |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
105600 |
Modular degree for the optimal curve |
Δ |
-523019531250 = -1 · 2 · 35 · 59 · 19 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 -1 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,174,34798] |
[a1,a2,a3,a4,a6] |
Generators |
[2:-189:1] |
Generators of the group modulo torsion |
j |
300763/267786 |
j-invariant |
L |
4.7564957775661 |
L(r)(E,1)/r! |
Ω |
0.7238674261675 |
Real period |
R |
0.65709487737284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002626 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82650bt1 |
Quadratic twists by: 5 |