Atkin-Lehner |
3- 7- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
77469ba |
Isogeny class |
Conductor |
77469 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-5022082863 = -1 · 34 · 76 · 17 · 31 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 4 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,391,-1632] |
[a1,a2,a3,a4,a6] |
j |
56181887/42687 |
j-invariant |
L |
1.5249112069501 |
L(r)(E,1)/r! |
Ω |
0.76245561237625 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1581b1 |
Quadratic twists by: -7 |