Atkin-Lehner |
2+ 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
54096j |
Isogeny class |
Conductor |
54096 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-436230144 = -1 · 211 · 33 · 73 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- -2 3 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5336,151824] |
[a1,a2,a3,a4,a6] |
Generators |
[40:28:1] |
Generators of the group modulo torsion |
j |
-23923707806/621 |
j-invariant |
L |
4.2316468308624 |
L(r)(E,1)/r! |
Ω |
1.552823934687 |
Real period |
R |
0.34064122921159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999404 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27048f1 54096s1 |
Quadratic twists by: -4 -7 |