Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13680bo |
Isogeny class |
Conductor |
13680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-6.1036321409335E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 6 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3725427,2793064754] |
[a1,a2,a3,a4,a6] |
j |
-1914980734749238129/20440940544000 |
j-invariant |
L |
2.3760042070606 |
L(r)(E,1)/r! |
Ω |
0.19800035058839 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1710j1 54720ed1 4560n1 68400ej1 |
Quadratic twists by: -4 8 -3 5 |