Atkin-Lehner |
2- 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
56400bq |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-1403412480000000000 = -1 · 222 · 36 · 510 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 2 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,129592,54051312] |
[a1,a2,a3,a4,a6] |
Generators |
[-20270:670194:125] |
Generators of the group modulo torsion |
j |
3760754329151/21928320000 |
j-invariant |
L |
5.663636200998 |
L(r)(E,1)/r! |
Ω |
0.19516692789274 |
Real period |
R |
7.2548615975185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999822 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7050e1 11280r1 |
Quadratic twists by: -4 5 |