Atkin-Lehner |
2- 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
44400bm |
Isogeny class |
Conductor |
44400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-173264062500000000 = -1 · 28 · 34 · 514 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 4 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-181908,36016812] |
[a1,a2,a3,a4,a6] |
Generators |
[57348:1556775:64] |
Generators of the group modulo torsion |
j |
-166426126492624/43316015625 |
j-invariant |
L |
6.2932322303268 |
L(r)(E,1)/r! |
Ω |
0.30568046245177 |
Real period |
R |
5.1469042050121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999913 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11100l2 8880y2 |
Quadratic twists by: -4 5 |