Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462bm |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
157248 |
Modular degree for the optimal curve |
Δ |
-52330757213592 = -1 · 23 · 36 · 11 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 4 -2 11- 13+ -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5355,-377987] |
[a1,a2,a3,a4,a6] |
Generators |
[60719:14931443:1] |
Generators of the group modulo torsion |
j |
-28561/88 |
j-invariant |
L |
5.1097200622945 |
L(r)(E,1)/r! |
Ω |
0.25764418568854 |
Real period |
R |
9.9162339888224 |
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 |
3718m1 33462cq1 |
Quadratic twists by: -3 13 |