Atkin-Lehner |
2+ 3- 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
33150bb |
Isogeny class |
Conductor |
33150 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
77760 |
Modular degree for the optimal curve |
Δ |
17514077343750 = 2 · 33 · 58 · 132 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -3 13- 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8951,255548] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:382:1] |
Generators of the group modulo torsion |
j |
203005872265/44836038 |
j-invariant |
L |
4.4895654875326 |
L(r)(E,1)/r! |
Ω |
0.65257131895013 |
Real period |
R |
1.146634693956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
99450dt1 33150be1 |
Quadratic twists by: -3 5 |