Atkin-Lehner |
3- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
34839m |
Isogeny class |
Conductor |
34839 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
426857984217 = 38 · 77 · 79 |
Discriminant |
Eigenvalues |
-1 3- 0 7- 4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4640,-116350] |
[a1,a2,a3,a4,a6] |
j |
128787625/4977 |
j-invariant |
L |
1.1596847540732 |
L(r)(E,1)/r! |
Ω |
0.57984237703594 |
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 |
11613f1 4977a1 |
Quadratic twists by: -3 -7 |