Atkin-Lehner |
2- 3- 23+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
21942f |
Isogeny class |
Conductor |
21942 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
4380480 |
Modular degree for the optimal curve |
Δ |
-4.6701820398855E+24 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 4 5 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-37755383,-137044602417] |
[a1,a2,a3,a4,a6] |
Generators |
[7811:207198:1] |
Generators of the group modulo torsion |
j |
-8164560540209513880634921/6406285377072000925696 |
j-invariant |
L |
7.7712390168252 |
L(r)(E,1)/r! |
Ω |
0.029458665248953 |
Real period |
R |
5.0731050747463 |
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 |
2438a1 |
Quadratic twists by: -3 |