Atkin-Lehner |
2+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
78416i |
Isogeny class |
Conductor |
78416 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
78727803345152 = 28 · 139 · 29 |
Discriminant |
Eigenvalues |
2+ 2 0 -4 -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18308,-846496] |
[a1,a2,a3,a4,a6] |
j |
250000/29 |
j-invariant |
L |
1.6541322841411 |
L(r)(E,1)/r! |
Ω |
0.41353306787456 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39208i1 78416h1 |
Quadratic twists by: -4 13 |