Atkin-Lehner |
2- 3+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
53754n |
Isogeny class |
Conductor |
53754 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
264384 |
Modular degree for the optimal curve |
Δ |
-140129015474808 = -1 · 23 · 34 · 178 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -2 -5 -5 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-16479,-1000515] |
[a1,a2,a3,a4,a6] |
Generators |
[409:7598:1] |
Generators of the group modulo torsion |
j |
-70945777/20088 |
j-invariant |
L |
3.1732845440105 |
L(r)(E,1)/r! |
Ω |
0.2076391952575 |
Real period |
R |
0.84903809013166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53754o1 |
Quadratic twists by: 17 |