Atkin-Lehner |
2- 3+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
56400bz |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
66532147200000000 = 227 · 33 · 58 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 0 5 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-244149208,1468436476912] |
[a1,a2,a3,a4,a6] |
Generators |
[12719687817:-48761208316:1442897] |
Generators of the group modulo torsion |
j |
1005934471045444099705/41582592 |
j-invariant |
L |
6.0150508347338 |
L(r)(E,1)/r! |
Ω |
0.18732527532591 |
Real period |
R |
16.055096740866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7050q2 56400cy2 |
Quadratic twists by: -4 5 |