Atkin-Lehner |
2- 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
34476u |
Isogeny class |
Conductor |
34476 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
3971851613160912 = 24 · 34 · 139 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 2 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-46869,2445912] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:1734:1] |
Generators of the group modulo torsion |
j |
67108864/23409 |
j-invariant |
L |
5.203978981434 |
L(r)(E,1)/r! |
Ω |
0.40426904420084 |
Real period |
R |
3.2181408990397 |
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 |
103428bb1 34476s1 |
Quadratic twists by: -3 13 |