Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
44100f |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
90720 |
Modular degree for the optimal curve |
Δ |
-48811723027200 = -1 · 28 · 33 · 52 · 710 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,-336140] |
[a1,a2,a3,a4,a6] |
Generators |
[218632:4508127:512] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
5.6888724613769 |
L(r)(E,1)/r! |
Ω |
0.29125832554425 |
Real period |
R |
9.7660254874218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44100f2 44100v1 44100a1 |
Quadratic twists by: -3 5 -7 |