Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280bn |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
320060160000 = 211 · 36 · 54 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2163,27538] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:126:1] |
Generators of the group modulo torsion |
j |
2185454/625 |
j-invariant |
L |
5.6033743458794 |
L(r)(E,1)/r! |
Ω |
0.89847139503669 |
Real period |
R |
1.5591409968179 |
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 |
17640u2 3920o2 35280cm2 |
Quadratic twists by: -4 -3 -7 |