Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400u |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-27437936768000 = -1 · 210 · 53 · 118 |
Discriminant |
Eigenvalues |
2+ 1 5- 5 11- -6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15528,-791452] |
[a1,a2,a3,a4,a6] |
Generators |
[752624:3289270:4913] |
Generators of the group modulo torsion |
j |
-15092 |
j-invariant |
L |
8.1721438327198 |
L(r)(E,1)/r! |
Ω |
0.21302468275791 |
Real period |
R |
9.5906067397153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999817 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24200o1 48400y1 48400v1 |
Quadratic twists by: -4 5 -11 |