Atkin-Lehner |
2+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
48050f |
Isogeny class |
Conductor |
48050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
60062500 = 22 · 56 · 312 |
Discriminant |
Eigenvalues |
2+ 3 5+ 3 3 5 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1908292,1015125116] |
[a1,a2,a3,a4,a6] |
j |
51181724570498001/4 |
j-invariant |
L |
6.0656910138825 |
L(r)(E,1)/r! |
Ω |
0.75821137664129 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1922e2 48050a2 |
Quadratic twists by: 5 -31 |