Atkin-Lehner |
2- 5+ 29+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
59450k |
Isogeny class |
Conductor |
59450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
349440 |
Modular degree for the optimal curve |
Δ |
-4307342814312500 = -1 · 22 · 56 · 293 · 414 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 -5 5 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,20062,2970531] |
[a1,a2,a3,a4,a6] |
j |
57151154952359/275669940116 |
j-invariant |
L |
1.2560783367023 |
L(r)(E,1)/r! |
Ω |
0.31401958443097 |
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 |
2378a1 |
Quadratic twists by: 5 |