Atkin-Lehner |
2+ 3- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47424bn |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
-1.7281868870348E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 -3 3 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-844513,359211647] |
[a1,a2,a3,a4,a6] |
Generators |
[1331:39936:1] |
Generators of the group modulo torsion |
j |
-254099214331341625/65925097924608 |
j-invariant |
L |
6.9408458258845 |
L(r)(E,1)/r! |
Ω |
0.20832208672713 |
Real period |
R |
0.39664117363989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47424cl1 1482a1 |
Quadratic twists by: -4 8 |