Atkin-Lehner |
2+ 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14280w |
Isogeny class |
Conductor |
14280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
484929607680 = 211 · 34 · 5 · 7 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2360,-29520] |
[a1,a2,a3,a4,a6] |
Generators |
[-166:837:8] |
Generators of the group modulo torsion |
j |
710090624882/236782035 |
j-invariant |
L |
5.763362641123 |
L(r)(E,1)/r! |
Ω |
0.70330837931979 |
Real period |
R |
4.0973226045573 |
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 |
28560x3 114240f3 42840br3 71400cw3 |
Quadratic twists by: -4 8 -3 5 |