Atkin-Lehner |
2+ 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14280b |
Isogeny class |
Conductor |
14280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1294984774256221440 = 28 · 36 · 5 · 710 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -2 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-282276,-18194220] |
[a1,a2,a3,a4,a6] |
Generators |
[-9258:166796:27] |
Generators of the group modulo torsion |
j |
9716439463670092624/5058534274438365 |
j-invariant |
L |
3.4807320409312 |
L(r)(E,1)/r! |
Ω |
0.21931424307322 |
Real period |
R |
7.9354901719018 |
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 |
28560bk2 114240eb2 42840cb2 71400dv2 |
Quadratic twists by: -4 8 -3 5 |