Atkin-Lehner |
2- 3+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
49632f |
Isogeny class |
Conductor |
49632 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
-11626593792 = -1 · 29 · 3 · 115 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- 0 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,512,2488] |
[a1,a2,a3,a4,a6] |
Generators |
[9:88:1] |
Generators of the group modulo torsion |
j |
28934443000/22708191 |
j-invariant |
L |
6.0539544967714 |
L(r)(E,1)/r! |
Ω |
0.81816581809622 |
Real period |
R |
1.4798844837801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999537 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49632j1 99264bt1 |
Quadratic twists by: -4 8 |