Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
106134bp |
Isogeny class |
Conductor |
106134 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
142248960 |
Modular degree for the optimal curve |
Δ |
-1.6210597462359E+29 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 3 4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1155312444,-12115355919675] |
[a1,a2,a3,a4,a6] |
Generators |
[123524505:33299270445:2197] |
Generators of the group modulo torsion |
j |
628805222251722551/597713542447104 |
j-invariant |
L |
8.6422231413528 |
L(r)(E,1)/r! |
Ω |
0.01765350127447 |
Real period |
R |
11.655887110447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999850268 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106134cs1 5586m1 |
Quadratic twists by: -7 -19 |