Atkin-Lehner |
2+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
46550s |
Isogeny class |
Conductor |
46550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-625892680000000 = -1 · 29 · 57 · 77 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -5 -1 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,21208,183616] |
[a1,a2,a3,a4,a6] |
Generators |
[9:608:1] |
Generators of the group modulo torsion |
j |
573856191/340480 |
j-invariant |
L |
2.9727505823082 |
L(r)(E,1)/r! |
Ω |
0.31313159048387 |
Real period |
R |
0.59335090115405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9310t1 6650a1 |
Quadratic twists by: 5 -7 |