Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560cm |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-26869248000 = -1 · 212 · 32 · 53 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 6 -1 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-198101,34003485] |
[a1,a2,a3,a4,a6] |
Generators |
[260:75:1] |
Generators of the group modulo torsion |
j |
-209906535145406464/6559875 |
j-invariant |
L |
4.3449894925469 |
L(r)(E,1)/r! |
Ω |
0.87119419407715 |
Real period |
R |
2.4936974569427 |
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 |
1785l2 114240km2 85680fb2 |
Quadratic twists by: -4 8 -3 |