Atkin-Lehner |
2- 3+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
44400cd |
Isogeny class |
Conductor |
44400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-63637291008000 = -1 · 221 · 38 · 53 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 5 -1 0 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2928,-387648] |
[a1,a2,a3,a4,a6] |
j |
-5423945093/124291584 |
j-invariant |
L |
2.149424133002 |
L(r)(E,1)/r! |
Ω |
0.26867801661392 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5550br1 44400df1 |
Quadratic twists by: -4 5 |