Atkin-Lehner |
2+ 3+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
29328b |
Isogeny class |
Conductor |
29328 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
47097365013504 = 210 · 36 · 134 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12904,461824] |
[a1,a2,a3,a4,a6] |
j |
232076130132388/45993520521 |
j-invariant |
L |
1.2078676877211 |
L(r)(E,1)/r! |
Ω |
0.60393384386004 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14664g2 117312cz2 87984e2 |
Quadratic twists by: -4 8 -3 |