Atkin-Lehner |
2+ 3- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47424bw |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-6481484365824 = -1 · 214 · 36 · 134 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 3 -3 -3 13- 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1065909,-423928557] |
[a1,a2,a3,a4,a6] |
Generators |
[1326:22269:1] |
Generators of the group modulo torsion |
j |
-8174563425829593088/395598411 |
j-invariant |
L |
8.4195116640139 |
L(r)(E,1)/r! |
Ω |
0.074291562325028 |
Real period |
R |
4.7221107622632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47424cs1 2964c1 |
Quadratic twists by: -4 8 |