Atkin-Lehner |
5- 7- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
21385n |
Isogeny class |
Conductor |
21385 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-50634801546875 = -1 · 56 · 74 · 13 · 473 |
Discriminant |
Eigenvalues |
0 1 5- 7- 3 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,4615,321931] |
[a1,a2,a3,a4,a6] |
Generators |
[155:2187:1] |
Generators of the group modulo torsion |
j |
10867877132632064/50634801546875 |
j-invariant |
L |
5.425214053228 |
L(r)(E,1)/r! |
Ω |
0.4541737424533 |
Real period |
R |
1.4931549168614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
106925a1 |
Quadratic twists by: 5 |