Atkin-Lehner |
2+ 3+ 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
13110b |
Isogeny class |
Conductor |
13110 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
893760 |
Modular degree for the optimal curve |
Δ |
-2.9245587590249E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -1 5 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3355173,-3517836723] |
[a1,a2,a3,a4,a6] |
j |
-4177040336279234073315289/2924558759024865000000 |
j-invariant |
L |
1.0820268123025 |
L(r)(E,1)/r! |
Ω |
0.054101340615126 |
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 |
104880cr1 39330bt1 65550cb1 |
Quadratic twists by: -4 -3 5 |