Atkin-Lehner |
2- 3+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
53742p |
Isogeny class |
Conductor |
53742 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
440640 |
Modular degree for the optimal curve |
Δ |
-905335757733888 = -1 · 217 · 33 · 136 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -4 -1 1 13+ 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,23910,275751] |
[a1,a2,a3,a4,a6] |
Generators |
[57:-1381:1] |
Generators of the group modulo torsion |
j |
313185171671/187564032 |
j-invariant |
L |
5.864256360864 |
L(r)(E,1)/r! |
Ω |
0.30475092824075 |
Real period |
R |
0.56596424252199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000061 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
318e1 |
Quadratic twists by: 13 |