Atkin-Lehner |
3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
9765j |
Isogeny class |
Conductor |
9765 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-3741202655859375 = -1 · 38 · 58 · 72 · 313 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -6 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,37147,1023212] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:531:1] |
Generators of the group modulo torsion |
j |
7776396241319159/5131965234375 |
j-invariant |
L |
2.4006935832702 |
L(r)(E,1)/r! |
Ω |
0.27725950128774 |
Real period |
R |
4.3293260864282 |
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 |
3255e1 48825r1 68355bj1 |
Quadratic twists by: -3 5 -7 |