Atkin-Lehner |
2+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
119072b |
Isogeny class |
Conductor |
119072 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2142720 |
Modular degree for the optimal curve |
Δ |
-4.7899222396249E+19 |
Discriminant |
Eigenvalues |
2+ 0 1 -3 3 -3 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1235372,624651712] |
[a1,a2,a3,a4,a6] |
Generators |
[366:-14884:1] |
Generators of the group modulo torsion |
j |
-988047936/226981 |
j-invariant |
L |
4.9158585961239 |
L(r)(E,1)/r! |
Ω |
0.19204199509122 |
Real period |
R |
1.5998644295186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000173724 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119072a1 1952c1 |
Quadratic twists by: -4 61 |