Atkin-Lehner |
3- 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
9765k |
Isogeny class |
Conductor |
9765 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-6782524875 = -1 · 36 · 53 · 74 · 31 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ -4 -2 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,18,3962] |
[a1,a2,a3,a4,a6] |
Generators |
[22:122:1] |
Generators of the group modulo torsion |
j |
884736/9303875 |
j-invariant |
L |
3.4240973465438 |
L(r)(E,1)/r! |
Ω |
1.049675399082 |
Real period |
R |
0.54367558922474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1085a1 48825bd1 68355r1 |
Quadratic twists by: -3 5 -7 |