Atkin-Lehner |
5+ 7- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
21385h |
Isogeny class |
Conductor |
21385 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
212100982666015625 = 518 · 7 · 132 · 47 |
Discriminant |
Eigenvalues |
-1 -2 5+ 7- 2 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-530726,147114331] |
[a1,a2,a3,a4,a6] |
Generators |
[90:9959:1] |
Generators of the group modulo torsion |
j |
16532360062659437982049/212100982666015625 |
j-invariant |
L |
2.0255825381678 |
L(r)(E,1)/r! |
Ω |
0.31706740731412 |
Real period |
R |
6.3884918204823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106925f2 |
Quadratic twists by: 5 |