Atkin-Lehner |
2- 3+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
53754m |
Isogeny class |
Conductor |
53754 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
763776 |
Modular degree for the optimal curve |
Δ |
-143492111846203392 = -1 · 213 · 34 · 178 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 2 3 1 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-242477,49338083] |
[a1,a2,a3,a4,a6] |
Generators |
[-169:9332:1] |
Generators of the group modulo torsion |
j |
-226018559953/20570112 |
j-invariant |
L |
10.222969309374 |
L(r)(E,1)/r! |
Ω |
0.31914094898202 |
Real period |
R |
0.41067656630133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53754p1 |
Quadratic twists by: 17 |