Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
58464k |
Isogeny class |
Conductor |
58464 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
42961218048 = 29 · 310 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2595,49894] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:162:1] |
Generators of the group modulo torsion |
j |
5177717000/115101 |
j-invariant |
L |
7.1157405802952 |
L(r)(E,1)/r! |
Ω |
1.1403720464044 |
Real period |
R |
1.55996032235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998084 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58464g2 116928ep2 19488h2 |
Quadratic twists by: -4 8 -3 |