Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280br |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
242066299910400 = 28 · 38 · 52 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16023,-221578] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:720:1] |
Generators of the group modulo torsion |
j |
20720464/11025 |
j-invariant |
L |
4.2465157040988 |
L(r)(E,1)/r! |
Ω |
0.45085065628929 |
Real period |
R |
2.3547241447143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17640s2 11760p2 5040p2 |
Quadratic twists by: -4 -3 -7 |