Atkin-Lehner |
2+ 5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
44770j |
Isogeny class |
Conductor |
44770 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
33560451584000 = 212 · 53 · 116 · 37 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 11- -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9078,181256] |
[a1,a2,a3,a4,a6] |
Generators |
[-1545:20119:27] [-74:4147:8] |
Generators of the group modulo torsion |
j |
46694890801/18944000 |
j-invariant |
L |
4.8578402510951 |
L(r)(E,1)/r! |
Ω |
0.59439671558357 |
Real period |
R |
1.3621206521213 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999964 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
370d1 |
Quadratic twists by: -11 |