Atkin-Lehner |
2+ 3- 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
74550bq |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-25063948136556000 = -1 · 25 · 37 · 53 · 79 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-83261,11973368] |
[a1,a2,a3,a4,a6] |
Generators |
[282:-3449:1] |
Generators of the group modulo torsion |
j |
-510659092300867901/200511585092448 |
j-invariant |
L |
6.4537552755905 |
L(r)(E,1)/r! |
Ω |
0.35457820692814 |
Real period |
R |
0.14445411189173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974693 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74550cq1 |
Quadratic twists by: 5 |