Atkin-Lehner |
2+ 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44400c |
Isogeny class |
Conductor |
44400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3996000000000 = 211 · 33 · 59 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 -6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-133200008,-591659581488] |
[a1,a2,a3,a4,a6] |
Generators |
[1155571951208162:-378167904674173250:10662526601] |
Generators of the group modulo torsion |
j |
8167450100737631904002/124875 |
j-invariant |
L |
4.3984493281579 |
L(r)(E,1)/r! |
Ω |
0.044439942841075 |
Real period |
R |
24.743783671608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22200g4 8880i3 |
Quadratic twists by: -4 5 |