Atkin-Lehner |
2+ 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
47424bg |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-17700913152 = -1 · 215 · 37 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 -3 -3 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,447,-5121] |
[a1,a2,a3,a4,a6] |
Generators |
[15:72:1] |
Generators of the group modulo torsion |
j |
300763000/540189 |
j-invariant |
L |
5.7872648493405 |
L(r)(E,1)/r! |
Ω |
0.64431081257884 |
Real period |
R |
0.32078932449747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47424d1 23712e1 |
Quadratic twists by: -4 8 |