Atkin-Lehner |
2+ 3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890cy |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
316649103656945220 = 22 · 38 · 5 · 76 · 295 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-942231789,-11132060361647] |
[a1,a2,a3,a4,a6] |
Generators |
[67244:15117815:1] |
Generators of the group modulo torsion |
j |
1078651622544688278688321/3692006820 |
j-invariant |
L |
4.3375422149227 |
L(r)(E,1)/r! |
Ω |
0.027249599056535 |
Real period |
R |
7.9589101345776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030059 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42630ce3 2610e3 |
Quadratic twists by: -3 -7 |