Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20700n |
Isogeny class |
Conductor |
20700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8386560 |
Modular degree for the optimal curve |
Δ |
-3.9158223253418E+26 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 0 -4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,172561200,-381042249500] |
[a1,a2,a3,a4,a6] |
Generators |
[14773296020:1504087553250:5929741] |
Generators of the group modulo torsion |
j |
194879272239195815936/134287459716796875 |
j-invariant |
L |
5.9100086302509 |
L(r)(E,1)/r! |
Ω |
0.030212083637334 |
Real period |
R |
16.301448291338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82800eu1 6900g1 4140k1 |
Quadratic twists by: -4 -3 5 |