Atkin-Lehner |
2- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
51392j |
Isogeny class |
Conductor |
51392 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3008 |
Modular degree for the optimal curve |
Δ |
-51392 = -1 · 26 · 11 · 73 |
Discriminant |
Eigenvalues |
2- -1 2 -1 11+ 1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27,-47] |
[a1,a2,a3,a4,a6] |
Generators |
[136:1579:1] |
Generators of the group modulo torsion |
j |
-35287552/803 |
j-invariant |
L |
5.1423230253817 |
L(r)(E,1)/r! |
Ω |
1.0425857985237 |
Real period |
R |
4.9322780270862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999438 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51392l1 25696f1 |
Quadratic twists by: -4 8 |