Atkin-Lehner |
2- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
14210o |
Isogeny class |
Conductor |
14210 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2612175453125000000 = 26 · 512 · 78 · 29 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 0 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-373381,40649419] |
[a1,a2,a3,a4,a6] |
Generators |
[-659:1358:1] |
Generators of the group modulo torsion |
j |
48931912253206081/22203125000000 |
j-invariant |
L |
9.3127995540109 |
L(r)(E,1)/r! |
Ω |
0.22989833835053 |
Real period |
R |
3.3756948182793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113680ba2 127890cs2 71050o2 2030b2 |
Quadratic twists by: -4 -3 5 -7 |