Atkin-Lehner |
2- 3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
44652g |
Isogeny class |
Conductor |
44652 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1325080947437206272 = 28 · 33 · 618 |
Discriminant |
Eigenvalues |
2- 3- -2 2 0 -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-611484,-175718988] |
[a1,a2,a3,a4,a6] |
Generators |
[-16360902:-102979221:39304] |
Generators of the group modulo torsion |
j |
1917170512/100467 |
j-invariant |
L |
6.3950312869455 |
L(r)(E,1)/r! |
Ω |
0.17128385929213 |
Real period |
R |
12.445288799877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
732c2 |
Quadratic twists by: 61 |