Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
44100bp |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
911801073881250000 = 24 · 311 · 58 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6232800,5989080125] |
[a1,a2,a3,a4,a6] |
j |
1248870793216/42525 |
j-invariant |
L |
2.0919521479575 |
L(r)(E,1)/r! |
Ω |
0.2614940185133 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14700j1 8820y1 6300f1 |
Quadratic twists by: -3 5 -7 |