Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
44100g |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
86858050781250000 = 24 · 33 · 512 · 77 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-161700,-20622875] |
[a1,a2,a3,a4,a6] |
Generators |
[-301:882:1] |
Generators of the group modulo torsion |
j |
588791808/109375 |
j-invariant |
L |
5.5383966754445 |
L(r)(E,1)/r! |
Ω |
0.24113481539953 |
Real period |
R |
2.8710063425885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999944 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44100h3 8820a1 6300b1 |
Quadratic twists by: -3 5 -7 |