Atkin-Lehner |
3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
53361bz |
Isogeny class |
Conductor |
53361 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-1860678601932843 = -1 · 311 · 72 · 118 |
Discriminant |
Eigenvalues |
-2 3- 0 7- 11- -5 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,12705,-2000826] |
[a1,a2,a3,a4,a6] |
j |
3584000/29403 |
j-invariant |
L |
0.93030267488963 |
L(r)(E,1)/r! |
Ω |
0.23257566870699 |
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 |
17787w1 53361w1 4851t1 |
Quadratic twists by: -3 -7 -11 |