Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560o |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
33736500000000000 = 211 · 34 · 512 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-82416,2227680] |
[a1,a2,a3,a4,a6] |
Generators |
[354:4158:1] |
Generators of the group modulo torsion |
j |
30229685362358498/16472900390625 |
j-invariant |
L |
4.3180914059205 |
L(r)(E,1)/r! |
Ω |
0.32087597117681 |
Real period |
R |
3.3642994441778 |
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 |
14280bv3 114240la3 85680ca3 |
Quadratic twists by: -4 8 -3 |