Atkin-Lehner |
2+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
119072a |
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 |
[41325914:542030628:29791] |
Generators of the group modulo torsion |
j |
-988047936/226981 |
j-invariant |
L |
6.8908699557277 |
L(r)(E,1)/r! |
Ω |
0.070737988047946 |
Real period |
R |
6.0883746639288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999541323 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119072b1 1952d1 |
Quadratic twists by: -4 61 |