Atkin-Lehner |
2+ 3+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
53754b |
Isogeny class |
Conductor |
53754 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-92886912 = -1 · 27 · 34 · 172 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -3 -3 6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,105,-171] |
[a1,a2,a3,a4,a6] |
Generators |
[3:12:1] |
Generators of the group modulo torsion |
j |
436430375/321408 |
j-invariant |
L |
2.9075628951444 |
L(r)(E,1)/r! |
Ω |
1.0672932648245 |
Real period |
R |
1.3621199491338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998528 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53754h1 |
Quadratic twists by: 17 |