Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280cy |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
432081216000000 = 212 · 39 · 56 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 -6 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24003,1024002] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:1512:1] |
Generators of the group modulo torsion |
j |
55306341/15625 |
j-invariant |
L |
5.0728520540773 |
L(r)(E,1)/r! |
Ω |
0.49312367639841 |
Real period |
R |
1.2858975082903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2205a2 35280dl2 35280dj2 |
Quadratic twists by: -4 -3 -7 |