Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600em |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-1525432500000000 = -1 · 28 · 39 · 510 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,20625,-1493750] |
[a1,a2,a3,a4,a6] |
Generators |
[210674:96697782:1] |
Generators of the group modulo torsion |
j |
532400/837 |
j-invariant |
L |
5.6180292400063 |
L(r)(E,1)/r! |
Ω |
0.25170835341515 |
Real period |
R |
11.159798943779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012176 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27900n1 37200cy1 111600gc1 |
Quadratic twists by: -4 -3 5 |