Atkin-Lehner |
2- 3+ 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
49560u |
Isogeny class |
Conductor |
49560 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
1900800 |
Modular degree for the optimal curve |
Δ |
-2.7214976173815E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -3 -2 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1124016,917086716] |
[a1,a2,a3,a4,a6] |
Generators |
[-570:37044:1] |
Generators of the group modulo torsion |
j |
-153370425274946534596/265771251697415625 |
j-invariant |
L |
3.6217694253876 |
L(r)(E,1)/r! |
Ω |
0.15568173012677 |
Real period |
R |
0.52872576261378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999724 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99120v1 |
Quadratic twists by: -4 |