Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
1368g |
Isogeny class |
Conductor |
1368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
95738112 = 28 · 39 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1551,23506] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:216:1] |
Generators of the group modulo torsion |
j |
2211014608/513 |
j-invariant |
L |
2.4954051649011 |
L(r)(E,1)/r! |
Ω |
1.8496522142894 |
Real period |
R |
1.3491212810835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2736j1 10944be1 456b1 34200p1 |
Quadratic twists by: -4 8 -3 5 |