Atkin-Lehner |
2- 3+ 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
113850dh |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
220 |
Product of Tamagawa factors cp |
deg |
464640 |
Modular degree for the optimal curve |
Δ |
-1076609668147200 = -1 · 211 · 33 · 52 · 112 · 235 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11+ 0 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-665,-1578503] |
[a1,a2,a3,a4,a6] |
Generators |
[263:-4180:1] |
Generators of the group modulo torsion |
j |
-48114111915/1594977286144 |
j-invariant |
L |
11.716882303639 |
L(r)(E,1)/r! |
Ω |
0.22393868520622 |
Real period |
R |
0.23782650982153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001692 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113850h1 113850o1 |
Quadratic twists by: -3 5 |