Atkin-Lehner |
2- 3- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
33150bx |
Isogeny class |
Conductor |
33150 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
930852000000000000 = 214 · 34 · 512 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 2 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11192188,-14412737008] |
[a1,a2,a3,a4,a6] |
j |
9923129938500427467001/59574528000000 |
j-invariant |
L |
4.6223091511946 |
L(r)(E,1)/r! |
Ω |
0.082541234842917 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99450m1 6630f1 |
Quadratic twists by: -3 5 |