Atkin-Lehner |
2+ 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
84800g |
Isogeny class |
Conductor |
84800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
848000000 = 210 · 56 · 53 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 4 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1733,-27163] |
[a1,a2,a3,a4,a6] |
Generators |
[543163236:-8189633125:2299968] |
Generators of the group modulo torsion |
j |
35995648/53 |
j-invariant |
L |
10.149732850538 |
L(r)(E,1)/r! |
Ω |
0.73997566144416 |
Real period |
R |
13.716306328763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002306 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84800bs1 5300e1 3392j1 |
Quadratic twists by: -4 8 5 |