Atkin-Lehner |
2+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
110450s |
Isogeny class |
Conductor |
110450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
989184 |
Modular degree for the optimal curve |
Δ |
253311560231500 = 22 · 53 · 477 |
Discriminant |
Eigenvalues |
2+ -3 5- -3 5 1 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15877,85081] |
[a1,a2,a3,a4,a6] |
Generators |
[200:-2309:1] |
Generators of the group modulo torsion |
j |
328509/188 |
j-invariant |
L |
2.7729240130599 |
L(r)(E,1)/r! |
Ω |
0.47405330466765 |
Real period |
R |
0.36558705532795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999947741 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110450bo1 2350g1 |
Quadratic twists by: 5 -47 |