Atkin-Lehner |
2- 3- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
35376w |
Isogeny class |
Conductor |
35376 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-68487936 = -1 · 28 · 3 · 113 · 67 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 11+ -1 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-85,-529] |
[a1,a2,a3,a4,a6] |
j |
-268435456/267531 |
j-invariant |
L |
1.51002538988 |
L(r)(E,1)/r! |
Ω |
0.75501269493709 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8844c1 106128bw1 |
Quadratic twists by: -4 -3 |