Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14280bs |
Isogeny class |
Conductor |
14280 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
56827688400 = 24 · 35 · 52 · 7 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14271,-660870] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:9:1] |
Generators of the group modulo torsion |
j |
20090806898980864/3551730525 |
j-invariant |
L |
5.0926717809447 |
L(r)(E,1)/r! |
Ω |
0.43680542572662 |
Real period |
R |
1.1658902296081 |
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 |
28560f1 114240bm1 42840x1 71400l1 |
Quadratic twists by: -4 8 -3 5 |