Atkin-Lehner |
2- 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
56400bx |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-4.9538521512E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 -6 -3 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48008,-338641488] |
[a1,a2,a3,a4,a6] |
Generators |
[802:11750:1] |
Generators of the group modulo torsion |
j |
-191202526081/774039398625 |
j-invariant |
L |
2.1268626624634 |
L(r)(E,1)/r! |
Ω |
0.091058701873464 |
Real period |
R |
0.58392625275496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992255 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3525k1 11280z1 |
Quadratic twists by: -4 5 |