Atkin-Lehner |
2+ 3- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
67536i |
Isogeny class |
Conductor |
67536 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
13134468816 = 24 · 36 · 75 · 67 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 0 3 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-678,3971] |
[a1,a2,a3,a4,a6] |
j |
2955053056/1126069 |
j-invariant |
L |
1.1491899917603 |
L(r)(E,1)/r! |
Ω |
1.1491899828135 |
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 |
33768w1 7504c1 |
Quadratic twists by: -4 -3 |