Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
44100cw |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
131329372781250000 = 24 · 36 · 59 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-882000,-318346875] |
[a1,a2,a3,a4,a6] |
Generators |
[2927371559952:-1116488732350761:20123648] |
Generators of the group modulo torsion |
j |
28311552/49 |
j-invariant |
L |
6.2503805742464 |
L(r)(E,1)/r! |
Ω |
0.15580362465639 |
Real period |
R |
20.058521064686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999957 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4900p1 44100cx1 6300s1 |
Quadratic twists by: -3 5 -7 |