Atkin-Lehner |
2+ 3+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
558b |
Isogeny class |
Conductor |
558 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
240 |
Modular degree for the optimal curve |
Δ |
-25739424 = -1 · 25 · 33 · 313 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -4 3 5 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-48,288] |
[a1,a2,a3,a4,a6] |
j |
-458314011/953312 |
j-invariant |
L |
1.2560641995344 |
L(r)(E,1)/r! |
Ω |
1.8840962993016 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
4464m1 17856j1 558f2 13950by1 |
Quadratic twists by: -4 8 -3 5 |