Atkin-Lehner |
2- 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
31800s |
Isogeny class |
Conductor |
31800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-6741600000000 = -1 · 211 · 3 · 58 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,992,124012] |
[a1,a2,a3,a4,a6] |
Generators |
[21:392:1] |
Generators of the group modulo torsion |
j |
3370318/210675 |
j-invariant |
L |
5.0548069358443 |
L(r)(E,1)/r! |
Ω |
0.57078470000444 |
Real period |
R |
4.4279453669703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63600v2 95400f2 6360f2 |
Quadratic twists by: -4 -3 5 |