Atkin-Lehner |
2- 3+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
28896j |
Isogeny class |
Conductor |
28896 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
77672448 = 212 · 32 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 6 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-257,1617] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:28:1] |
Generators of the group modulo torsion |
j |
460099648/18963 |
j-invariant |
L |
6.2340606969457 |
L(r)(E,1)/r! |
Ω |
1.9143507892847 |
Real period |
R |
1.6282440845847 |
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 |
28896p2 57792dg1 86688w2 |
Quadratic twists by: -4 8 -3 |