Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462bk |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-4605106634796096 = -1 · 26 · 36 · 112 · 138 |
Discriminant |
Eigenvalues |
2+ 3- -3 2 11- 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-44901,-4895019] |
[a1,a2,a3,a4,a6] |
Generators |
[634:-15189:1] |
Generators of the group modulo torsion |
j |
-16835377/7744 |
j-invariant |
L |
3.7718466268967 |
L(r)(E,1)/r! |
Ω |
0.16043196375834 |
Real period |
R |
0.97960700872193 |
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 |
3718o1 33462cm1 |
Quadratic twists by: -3 13 |