Atkin-Lehner |
2- 3- 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
9078k |
Isogeny class |
Conductor |
9078 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
3485952 = 28 · 32 · 17 · 89 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-289,1865] |
[a1,a2,a3,a4,a6] |
Generators |
[2:35:1] |
Generators of the group modulo torsion |
j |
2669999369617/3485952 |
j-invariant |
L |
6.8532789991977 |
L(r)(E,1)/r! |
Ω |
2.4968510961879 |
Real period |
R |
0.68619220121508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72624s1 27234a1 |
Quadratic twists by: -4 -3 |