Atkin-Lehner |
3+ 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
32025j |
Isogeny class |
Conductor |
32025 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1298025791015625 = 36 · 510 · 72 · 612 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-89338,10093406] |
[a1,a2,a3,a4,a6] |
Generators |
[204:538:1] |
Generators of the group modulo torsion |
j |
5046760173468889/83073650625 |
j-invariant |
L |
2.9008749470257 |
L(r)(E,1)/r! |
Ω |
0.48402938233528 |
Real period |
R |
2.9965897246051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
96075bk2 6405j2 |
Quadratic twists by: -3 5 |