Atkin-Lehner |
2- 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784bi |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-155406491119152 = -1 · 24 · 35 · 72 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 0 13+ -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8563,-519312] |
[a1,a2,a3,a4,a6] |
j |
899022848/2012283 |
j-invariant |
L |
0.59826558537378 |
L(r)(E,1)/r! |
Ω |
0.2991327923302 |
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 |
14196n1 4368s1 |
Quadratic twists by: -4 13 |