Atkin-Lehner |
2- 3- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
49608m |
Isogeny class |
Conductor |
49608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
738816 |
Modular degree for the optimal curve |
Δ |
-21320449965914112 = -1 · 211 · 319 · 132 · 53 |
Discriminant |
Eigenvalues |
2- 3- 2 3 -5 13+ 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2346699,1383693158] |
[a1,a2,a3,a4,a6] |
j |
-957278701301286674/14280351111 |
j-invariant |
L |
2.7987709528383 |
L(r)(E,1)/r! |
Ω |
0.3498463691197 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99216i1 16536b1 |
Quadratic twists by: -4 -3 |