Atkin-Lehner |
2- 3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
56400bn |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
127238400000000 = 214 · 32 · 58 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 4 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14408,-380688] |
[a1,a2,a3,a4,a6] |
j |
5168743489/1988100 |
j-invariant |
L |
1.8006989002378 |
L(r)(E,1)/r! |
Ω |
0.45017472568985 |
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 |
7050k2 11280w2 |
Quadratic twists by: -4 5 |