Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34476k |
Isogeny class |
Conductor |
34476 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
211518724961232 = 24 · 36 · 137 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 4 0 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-532913,149559060] |
[a1,a2,a3,a4,a6] |
Generators |
[-464:17238:1] |
Generators of the group modulo torsion |
j |
216727177216000/2738853 |
j-invariant |
L |
8.166781613036 |
L(r)(E,1)/r! |
Ω |
0.51145498258505 |
Real period |
R |
1.3306452328999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103428r1 2652f1 |
Quadratic twists by: -3 13 |