Atkin-Lehner |
3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
9765i |
Isogeny class |
Conductor |
9765 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
115977282331640625 = 38 · 58 · 72 · 314 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-133785,-9255384] |
[a1,a2,a3,a4,a6] |
Generators |
[-665028:4405734:2197] |
Generators of the group modulo torsion |
j |
363262258500719761/159090922265625 |
j-invariant |
L |
4.9483527078313 |
L(r)(E,1)/r! |
Ω |
0.25986266663758 |
Real period |
R |
9.5210919903561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3255f3 48825t3 68355bi3 |
Quadratic twists by: -3 5 -7 |