Atkin-Lehner |
3- 5- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
21645n |
Isogeny class |
Conductor |
21645 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-14566587691514625 = -1 · 314 · 53 · 13 · 374 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,57208,2431316] |
[a1,a2,a3,a4,a6] |
Generators |
[141:3574:1] |
Generators of the group modulo torsion |
j |
28403613600082631/19981601771625 |
j-invariant |
L |
2.1970593860205 |
L(r)(E,1)/r! |
Ω |
0.25021077097644 |
Real period |
R |
1.463472427297 |
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 |
7215g4 108225bb3 |
Quadratic twists by: -3 5 |