Atkin-Lehner |
2- 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
55860g |
Isogeny class |
Conductor |
55860 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-213017410023390000 = -1 · 24 · 34 · 54 · 712 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-114921,26832870] |
[a1,a2,a3,a4,a6] |
j |
-89169731239936/113163631875 |
j-invariant |
L |
1.1416314907293 |
L(r)(E,1)/r! |
Ω |
0.28540787257335 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7980f1 |
Quadratic twists by: -7 |