Atkin-Lehner |
2- 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
44400bd |
Isogeny class |
Conductor |
44400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
83250000 = 24 · 32 · 56 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-333,2412] |
[a1,a2,a3,a4,a6] |
Generators |
[8:14:1] |
Generators of the group modulo torsion |
j |
16384000/333 |
j-invariant |
L |
4.4807429896679 |
L(r)(E,1)/r! |
Ω |
1.9208421578374 |
Real period |
R |
2.3326971304633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11100h1 1776h1 |
Quadratic twists by: -4 5 |