Atkin-Lehner |
2+ 5- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44770d |
Isogeny class |
Conductor |
44770 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-558362013228800 = -1 · 28 · 52 · 119 · 37 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 11+ 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,18551,584205] |
[a1,a2,a3,a4,a6] |
j |
299418309/236800 |
j-invariant |
L |
2.6681410566398 |
L(r)(E,1)/r! |
Ω |
0.33351763209685 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44770p1 |
Quadratic twists by: -11 |