Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
13650bv |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-52693884140625000 = -1 · 23 · 32 · 510 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,93537,-819219] |
[a1,a2,a3,a4,a6] |
Generators |
[165:4292:1] |
Generators of the group modulo torsion |
j |
5792335463322071/3372408585000 |
j-invariant |
L |
5.8267853413075 |
L(r)(E,1)/r! |
Ω |
0.20977244467761 |
Real period |
R |
2.3147246334246 |
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 |
109200gi3 40950bb3 2730m4 95550je3 |
Quadratic twists by: -4 -3 5 -7 |