Atkin-Lehner |
3- 5- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
21645n |
Isogeny class |
Conductor |
21645 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
770468994140625 = 38 · 512 · 13 · 37 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-210722,37260344] |
[a1,a2,a3,a4,a6] |
Generators |
[-198:8536:1] |
Generators of the group modulo torsion |
j |
1419462391553529049/1056884765625 |
j-invariant |
L |
2.1970593860205 |
L(r)(E,1)/r! |
Ω |
0.50042154195288 |
Real period |
R |
0.36586810682426 |
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 |
7215g3 108225bb4 |
Quadratic twists by: -3 5 |