Atkin-Lehner |
2- 7- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
101332k |
Isogeny class |
Conductor |
101332 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-34396516709632 = -1 · 28 · 76 · 11 · 473 |
Discriminant |
Eigenvalues |
2- 2 0 7- 11- -5 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-107228,13553576] |
[a1,a2,a3,a4,a6] |
Generators |
[1514:435:8] |
Generators of the group modulo torsion |
j |
-4527142594000/1142053 |
j-invariant |
L |
10.172291270701 |
L(r)(E,1)/r! |
Ω |
0.6379375510276 |
Real period |
R |
5.3151970036979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999991542 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2068d2 |
Quadratic twists by: -7 |