Atkin-Lehner |
3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21021h |
Isogeny class |
Conductor |
21021 |
Conductor |
∏ cp |
400 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-2184746031524026971 = -1 · 310 · 77 · 112 · 135 |
Discriminant |
Eigenvalues |
0 3- -3 7- 11+ 13- -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,323433,6805397] |
[a1,a2,a3,a4,a6] |
Generators |
[4293:283783:1] [3:2788:1] |
Generators of the group modulo torsion |
j |
31804393380282368/18570034862379 |
j-invariant |
L |
6.4772446308342 |
L(r)(E,1)/r! |
Ω |
0.15733114392938 |
Real period |
R |
0.10292375160226 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63063ba1 3003c1 |
Quadratic twists by: -3 -7 |