Atkin-Lehner |
7+ 43- 61- |
Signs for the Atkin-Lehner involutions |
Class |
128527b |
Isogeny class |
Conductor |
128527 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
122904 |
Modular degree for the optimal curve |
Δ |
-11644674727 = -1 · 74 · 433 · 61 |
Discriminant |
Eigenvalues |
1 -2 2 7+ 6 -1 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2035,-35871] |
[a1,a2,a3,a4,a6] |
Generators |
[333:5853:1] |
Generators of the group modulo torsion |
j |
-387898389193/4849927 |
j-invariant |
L |
6.64572433778 |
L(r)(E,1)/r! |
Ω |
0.35516549831883 |
Real period |
R |
2.0790696354497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000165149 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128527d1 |
Quadratic twists by: -7 |