Atkin-Lehner |
2- 3- 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
128100u |
Isogeny class |
Conductor |
128100 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
1245132000000 = 28 · 36 · 56 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56708,-5216412] |
[a1,a2,a3,a4,a6] |
Generators |
[304:2394:1] |
Generators of the group modulo torsion |
j |
5042017762000/311283 |
j-invariant |
L |
10.307544476199 |
L(r)(E,1)/r! |
Ω |
0.30937801069494 |
Real period |
R |
3.7018879052007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031878 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5124a2 |
Quadratic twists by: 5 |