Atkin-Lehner |
2- 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
44400bi |
Isogeny class |
Conductor |
44400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-831667500000000 = -1 · 28 · 35 · 510 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 0 5 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,21667,639537] |
[a1,a2,a3,a4,a6] |
Generators |
[61:1478:1] |
Generators of the group modulo torsion |
j |
449945600/332667 |
j-invariant |
L |
5.8599339053505 |
L(r)(E,1)/r! |
Ω |
0.31989060686433 |
Real period |
R |
4.579638929379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999936 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11100k1 44400dc1 |
Quadratic twists by: -4 5 |