Atkin-Lehner |
2+ 3- 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
9078d |
Isogeny class |
Conductor |
9078 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
28271506464 = 25 · 38 · 17 · 892 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 -4 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3052,-64630] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:38:1] |
Generators of the group modulo torsion |
j |
3142481503125817/28271506464 |
j-invariant |
L |
3.5879664978349 |
L(r)(E,1)/r! |
Ω |
0.64269695999337 |
Real period |
R |
1.3956680679927 |
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 |
72624r2 27234n2 |
Quadratic twists by: -4 -3 |