Atkin-Lehner |
2- 11- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
13156a |
Isogeny class |
Conductor |
13156 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-101880064 = -1 · 28 · 113 · 13 · 23 |
Discriminant |
Eigenvalues |
2- -2 3 -1 11- 13- 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44,484] |
[a1,a2,a3,a4,a6] |
j |
-37642192/397969 |
j-invariant |
L |
1.6091562300719 |
L(r)(E,1)/r! |
Ω |
1.6091562300719 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
52624e1 118404k1 |
Quadratic twists by: -4 -3 |