Atkin-Lehner |
2+ 5+ 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
55550d |
Isogeny class |
Conductor |
55550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2119680 |
Modular degree for the optimal curve |
Δ |
-8898170716160000000 = -1 · 223 · 57 · 113 · 1012 |
Discriminant |
Eigenvalues |
2+ 3 5+ -1 11+ 4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-649792,-247312384] |
[a1,a2,a3,a4,a6] |
Generators |
[266826020058643062:6897340189607964419:201250660463208] |
Generators of the group modulo torsion |
j |
-1941901255697022801/569482925834240 |
j-invariant |
L |
8.4620679847637 |
L(r)(E,1)/r! |
Ω |
0.082823483010065 |
Real period |
R |
25.542478042536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11110i1 |
Quadratic twists by: 5 |