Atkin-Lehner |
2- 3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
53958bi |
Isogeny class |
Conductor |
53958 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
397440 |
Modular degree for the optimal curve |
Δ |
-4888484945181144 = -1 · 23 · 33 · 172 · 238 |
Discriminant |
Eigenvalues |
2- 3- 2 3 3 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17997,-3491415] |
[a1,a2,a3,a4,a6] |
j |
-8231953/62424 |
j-invariant |
L |
9.8338078786441 |
L(r)(E,1)/r! |
Ω |
0.18210755328545 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53958bo1 |
Quadratic twists by: -23 |