Atkin-Lehner |
2- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
12844a |
Isogeny class |
Conductor |
12844 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2227680 |
Modular degree for the optimal curve |
Δ |
-4.2220197562914E+25 |
Discriminant |
Eigenvalues |
2- 0 -2 2 2 13+ -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-61220081,362938057261] |
[a1,a2,a3,a4,a6] |
j |
-328568038616615609088/546688785009341767 |
j-invariant |
L |
0.92121155274353 |
L(r)(E,1)/r! |
Ω |
0.057575722046471 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51376s1 115596o1 988b1 |
Quadratic twists by: -4 -3 13 |