Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
44640ba |
Isogeny class |
Conductor |
44640 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16640 |
Modular degree for the optimal curve |
Δ |
-1339200000 = -1 · 29 · 33 · 55 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -5 0 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,237,-1062] |
[a1,a2,a3,a4,a6] |
Generators |
[6:24:1] |
Generators of the group modulo torsion |
j |
106496424/96875 |
j-invariant |
L |
3.9381375142107 |
L(r)(E,1)/r! |
Ω |
0.83574108939644 |
Real period |
R |
2.356075083642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44640a1 89280w1 44640g1 |
Quadratic twists by: -4 8 -3 |