Atkin-Lehner |
2- 3- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
3636b |
Isogeny class |
Conductor |
3636 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
169641216 = 28 · 38 · 101 |
Discriminant |
Eigenvalues |
2- 3- -1 4 -2 1 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1488,22084] |
[a1,a2,a3,a4,a6] |
Generators |
[20:18:1] |
Generators of the group modulo torsion |
j |
1952382976/909 |
j-invariant |
L |
3.6701046182677 |
L(r)(E,1)/r! |
Ω |
1.7837231145282 |
Real period |
R |
0.34292547877107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14544t1 58176z1 1212a1 90900h1 |
Quadratic twists by: -4 8 -3 5 |