Atkin-Lehner |
2- 3- 31+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
27528h |
Isogeny class |
Conductor |
27528 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
51072 |
Modular degree for the optimal curve |
Δ |
-190083262464 = -1 · 211 · 37 · 31 · 372 |
Discriminant |
Eigenvalues |
2- 3- 3 4 5 7 -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,256,-20832] |
[a1,a2,a3,a4,a6] |
j |
902435326/92814093 |
j-invariant |
L |
6.6981031741558 |
L(r)(E,1)/r! |
Ω |
0.47843594101116 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55056g1 82584d1 |
Quadratic twists by: -4 -3 |