Atkin-Lehner |
2+ 3+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
53742a |
Isogeny class |
Conductor |
53742 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
47040 |
Modular degree for the optimal curve |
Δ |
-124328946222 = -1 · 2 · 35 · 136 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -1 -5 13+ 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,335,-16661] |
[a1,a2,a3,a4,a6] |
Generators |
[213:3020:1] |
Generators of the group modulo torsion |
j |
857375/25758 |
j-invariant |
L |
2.8942786053565 |
L(r)(E,1)/r! |
Ω |
0.50415616772814 |
Real period |
R |
2.870418722001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000132 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
318a1 |
Quadratic twists by: 13 |