Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400ib |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
523158729523200 = 218 · 38 · 52 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 5 1 -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-976673,-371835297] |
[a1,a2,a3,a4,a6] |
Generators |
[-71455:3348:125] |
Generators of the group modulo torsion |
j |
15721420060947505/79827687 |
j-invariant |
L |
10.990268781917 |
L(r)(E,1)/r! |
Ω |
0.15186662952293 |
Real period |
R |
4.5229936348999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002677 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400bl1 27600bm1 110400hk1 |
Quadratic twists by: -4 8 5 |