Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
93600en |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-1576972800 = -1 · 29 · 36 · 52 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -5 13- 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,285,-470] |
[a1,a2,a3,a4,a6] |
j |
274360/169 |
j-invariant |
L |
1.7380844969693 |
L(r)(E,1)/r! |
Ω |
0.8690422919467 |
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 |
93600by1 10400i1 93600ci1 |
Quadratic twists by: -4 -3 5 |