Atkin-Lehner |
2+ 3- 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
33150bd |
Isogeny class |
Conductor |
33150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
43026048000 = 210 · 32 · 53 · 133 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 4 13- 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3731,-87442] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:36:1] |
Generators of the group modulo torsion |
j |
45932714112797/344208384 |
j-invariant |
L |
5.0666900062163 |
L(r)(E,1)/r! |
Ω |
0.61115784365583 |
Real period |
R |
1.3817188851215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99450dv1 33150br1 |
Quadratic twists by: -3 5 |