Atkin-Lehner |
2- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
52528y |
Isogeny class |
Conductor |
52528 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
177189137219584 = 216 · 79 · 67 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 0 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31376611,-67648343070] |
[a1,a2,a3,a4,a6] |
Generators |
[842783139286453796465:9520253802929645757330:129160575951536303] |
Generators of the group modulo torsion |
j |
20668050043604991/1072 |
j-invariant |
L |
4.4345530478939 |
L(r)(E,1)/r! |
Ω |
0.063789330833385 |
Real period |
R |
34.759363281778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6566d2 52528x2 |
Quadratic twists by: -4 -7 |