Atkin-Lehner |
2+ 3- 23+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
51888g |
Isogeny class |
Conductor |
51888 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
1731295117587456 = 210 · 35 · 236 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-239592,45015300] |
[a1,a2,a3,a4,a6] |
j |
1485396877381453732/1690717888269 |
j-invariant |
L |
4.7003698166624 |
L(r)(E,1)/r! |
Ω |
0.47003698164744 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25944g2 |
Quadratic twists by: -4 |