Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400go |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
217300320000000000 = 214 · 310 · 510 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -5 1 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-370833,84099537] |
[a1,a2,a3,a4,a6] |
Generators |
[411:972:1] |
Generators of the group modulo torsion |
j |
35248450000/1358127 |
j-invariant |
L |
6.0652130539299 |
L(r)(E,1)/r! |
Ω |
0.31279816479468 |
Real period |
R |
2.4237726334663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001496 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400dg1 27600cy1 110400jd1 |
Quadratic twists by: -4 8 5 |