Atkin-Lehner |
2+ 5+ 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
47150a |
Isogeny class |
Conductor |
47150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
755136718750 = 2 · 510 · 23 · 412 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 2 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6667,206991] |
[a1,a2,a3,a4,a6] |
Generators |
[63:153:1] |
Generators of the group modulo torsion |
j |
2097643558401/48328750 |
j-invariant |
L |
3.8204547646078 |
L(r)(E,1)/r! |
Ω |
0.89771234819112 |
Real period |
R |
2.1278835989482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000077 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9430i2 |
Quadratic twists by: 5 |