Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
9408bx |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
174720 |
Modular degree for the optimal curve |
Δ |
-1.475729117713E+19 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -1 0 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,611455,16896993] |
[a1,a2,a3,a4,a6] |
Generators |
[9903:460088:27] |
Generators of the group modulo torsion |
j |
2731405432/1594323 |
j-invariant |
L |
4.0504400142672 |
L(r)(E,1)/r! |
Ω |
0.13414817721841 |
Real period |
R |
7.5484440009805 |
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 |
9408cs1 4704bb1 28224fm1 9408cl1 |
Quadratic twists by: -4 8 -3 -7 |