Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
2184j |
Isogeny class |
Conductor |
2184 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
12797733521664 = 28 · 36 · 74 · 134 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11284,-424316] |
[a1,a2,a3,a4,a6] |
j |
620742479063632/49991146569 |
j-invariant |
L |
0.93116173316074 |
L(r)(E,1)/r! |
Ω |
0.46558086658037 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
4368k2 17472bh2 6552m2 54600u2 |
Quadratic twists by: -4 8 -3 5 |