Atkin-Lehner |
2- 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44400bb |
Isogeny class |
Conductor |
44400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-1478520000000000 = -1 · 212 · 33 · 510 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -4 5 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13333,1947037] |
[a1,a2,a3,a4,a6] |
j |
-6553600/36963 |
j-invariant |
L |
0.8265219018101 |
L(r)(E,1)/r! |
Ω |
0.41326095093387 |
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 |
2775g1 44400dk1 |
Quadratic twists by: -4 5 |