Atkin-Lehner |
2+ 3- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
52080u |
Isogeny class |
Conductor |
52080 |
Conductor |
∏ cp |
7680 |
Product of Tamagawa factors cp |
Δ |
2.9441691955196E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-190246600,-975746656252] |
[a1,a2,a3,a4,a6] |
Generators |
[-8434:170100:1] |
Generators of the group modulo torsion |
j |
743660081328142753665357604/28751652299996103515625 |
j-invariant |
L |
8.1957434005295 |
L(r)(E,1)/r! |
Ω |
0.04074772660912 |
Real period |
R |
0.41902866340333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26040o2 |
Quadratic twists by: -4 |