Atkin-Lehner |
2- 5+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
45050k |
Isogeny class |
Conductor |
45050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1268439062500 = 22 · 58 · 172 · 532 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -4 6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2880,25247] |
[a1,a2,a3,a4,a6] |
Generators |
[54:593:8] |
Generators of the group modulo torsion |
j |
169020650889/81180100 |
j-invariant |
L |
8.2066833312583 |
L(r)(E,1)/r! |
Ω |
0.76673655574772 |
Real period |
R |
5.3516969223221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9010a2 |
Quadratic twists by: 5 |