Atkin-Lehner |
2- 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
44400bm |
Isogeny class |
Conductor |
44400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
37930781250000 = 24 · 38 · 510 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 4 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-192033,32452812] |
[a1,a2,a3,a4,a6] |
Generators |
[223230744:-1460067525:681472] |
Generators of the group modulo torsion |
j |
3132662187311104/151723125 |
j-invariant |
L |
6.2932322303268 |
L(r)(E,1)/r! |
Ω |
0.61136092490354 |
Real period |
R |
10.293808410024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999913 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11100l1 8880y1 |
Quadratic twists by: -4 5 |