Atkin-Lehner |
2- 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
14210i |
Isogeny class |
Conductor |
14210 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
32760 |
Modular degree for the optimal curve |
Δ |
-22495637054240 = -1 · 25 · 5 · 78 · 293 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 4 3 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1308,229247] |
[a1,a2,a3,a4,a6] |
j |
-42899409/3902240 |
j-invariant |
L |
2.786892096262 |
L(r)(E,1)/r! |
Ω |
0.5573784192524 |
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 |
113680r1 127890cj1 71050a1 14210p1 |
Quadratic twists by: -4 -3 5 -7 |