Atkin-Lehner |
2- 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
13818u |
Isogeny class |
Conductor |
13818 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
12939011540050176 = 28 · 34 · 710 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5416657,-4854525649] |
[a1,a2,a3,a4,a6] |
j |
149392736901862384897/109979783424 |
j-invariant |
L |
3.1667714279051 |
L(r)(E,1)/r! |
Ω |
0.098961607122035 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
110544dq2 41454t2 1974i2 |
Quadratic twists by: -4 -3 -7 |