Atkin-Lehner |
2- 3+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
44400cc |
Isogeny class |
Conductor |
44400 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
448145326080000 = 219 · 33 · 54 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -6 -1 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19208,118512] |
[a1,a2,a3,a4,a6] |
Generators |
[-134:518:1] [-108:960:1] |
Generators of the group modulo torsion |
j |
306163065625/175056768 |
j-invariant |
L |
7.25139375589 |
L(r)(E,1)/r! |
Ω |
0.45227992752264 |
Real period |
R |
0.44536047715756 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5550t1 44400ck1 |
Quadratic twists by: -4 5 |