Atkin-Lehner |
3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
9765i |
Isogeny class |
Conductor |
9765 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2244865264892578125 = 37 · 516 · 7 · 312 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1041930,403224075] |
[a1,a2,a3,a4,a6] |
Generators |
[522:909:1] |
Generators of the group modulo torsion |
j |
171597930729223531681/3079376220703125 |
j-invariant |
L |
4.9483527078313 |
L(r)(E,1)/r! |
Ω |
0.25986266663758 |
Real period |
R |
4.760545995178 |
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 |
3255f5 48825t6 68355bi6 |
Quadratic twists by: -3 5 -7 |