Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34476l |
Isogeny class |
Conductor |
34476 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
131040 |
Modular degree for the optimal curve |
Δ |
-862664603763456 = -1 · 28 · 35 · 138 · 17 |
Discriminant |
Eigenvalues |
2- 3- 1 2 4 13+ 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,23435,308231] |
[a1,a2,a3,a4,a6] |
Generators |
[554:13551:1] |
Generators of the group modulo torsion |
j |
6815744/4131 |
j-invariant |
L |
8.5690440737415 |
L(r)(E,1)/r! |
Ω |
0.30720203346019 |
Real period |
R |
5.5787678077669 |
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 |
103428t1 34476m1 |
Quadratic twists by: -3 13 |