Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14280be |
Isogeny class |
Conductor |
14280 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-67173120 = -1 · 28 · 32 · 5 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -3 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,79,-315] |
[a1,a2,a3,a4,a6] |
Generators |
[11:42:1] |
Generators of the group modulo torsion |
j |
210308096/262395 |
j-invariant |
L |
3.4014241610136 |
L(r)(E,1)/r! |
Ω |
1.0470342572298 |
Real period |
R |
0.27071894874552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28560bf1 114240eq1 42840bc1 71400bj1 |
Quadratic twists by: -4 8 -3 5 |