Atkin-Lehner |
2- 3- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
34440u |
Isogeny class |
Conductor |
34440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
691899600 = 24 · 3 · 52 · 73 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 6 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-411,2814] |
[a1,a2,a3,a4,a6] |
j |
481044711424/43243725 |
j-invariant |
L |
3.1378602046041 |
L(r)(E,1)/r! |
Ω |
1.5689301023044 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68880e1 103320q1 |
Quadratic twists by: -4 -3 |