Atkin-Lehner |
5+ 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
21775f |
Isogeny class |
Conductor |
21775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
-29899796875 = -1 · 56 · 134 · 67 |
Discriminant |
Eigenvalues |
-2 -2 5+ -2 0 13- 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1058,15294] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:45:1] [-12:162:1] |
Generators of the group modulo torsion |
j |
-8390176768/1913587 |
j-invariant |
L |
2.8842816235037 |
L(r)(E,1)/r! |
Ω |
1.123420199692 |
Real period |
R |
0.32092640228175 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
871a1 |
Quadratic twists by: 5 |