Atkin-Lehner |
2- 5- 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
19780f |
Isogeny class |
Conductor |
19780 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
689472 |
Modular degree for the optimal curve |
Δ |
-5.109189453125E+20 |
Discriminant |
Eigenvalues |
2- 1 5- -4 -3 -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2937220,2220908068] |
[a1,a2,a3,a4,a6] |
j |
-10946954799186633564496/1995777130126953125 |
j-invariant |
L |
0.95217524808906 |
L(r)(E,1)/r! |
Ω |
0.15869587468151 |
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 |
79120z1 98900k1 |
Quadratic twists by: -4 5 |