Atkin-Lehner |
2- 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
36600w |
Isogeny class |
Conductor |
36600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
753502500000000 = 28 · 34 · 510 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23508,-416988] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:976:1] |
Generators of the group modulo torsion |
j |
359194138576/188375625 |
j-invariant |
L |
3.9397331530106 |
L(r)(E,1)/r! |
Ω |
0.40869847632754 |
Real period |
R |
2.409926499122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73200z2 109800u2 7320g2 |
Quadratic twists by: -4 -3 5 |