Atkin-Lehner |
2+ 3+ 23+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
111504a |
Isogeny class |
Conductor |
111504 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-19460570112 = -1 · 210 · 34 · 23 · 1012 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 4 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,352,6096] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:52:1] [20:144:1] |
Generators of the group modulo torsion |
j |
4696965500/19004463 |
j-invariant |
L |
9.9547516991331 |
L(r)(E,1)/r! |
Ω |
0.86999483373332 |
Real period |
R |
2.8605778194821 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001373 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55752d1 |
Quadratic twists by: -4 |