Atkin-Lehner |
2- 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21294bp |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
3032640 |
Modular degree for the optimal curve |
Δ |
-7.6904120240925E+22 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -6 13+ 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22839875,44086902851] |
[a1,a2,a3,a4,a6] |
j |
-354003515818875/20661046784 |
j-invariant |
L |
1.930479457119 |
L(r)(E,1)/r! |
Ω |
0.10724885872883 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21294d2 21294k1 |
Quadratic twists by: -3 13 |