Atkin-Lehner |
3- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
32025u |
Isogeny class |
Conductor |
32025 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
70123776133359375 = 33 · 57 · 74 · 614 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ -4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-112963,7148042] |
[a1,a2,a3,a4,a6] |
Generators |
[383:4292:1] |
Generators of the group modulo torsion |
j |
10202640382603369/4487921672535 |
j-invariant |
L |
3.1164647267639 |
L(r)(E,1)/r! |
Ω |
0.31185292294595 |
Real period |
R |
0.41639082847718 |
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 |
96075z3 6405d3 |
Quadratic twists by: -3 5 |