Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
22932u |
Isogeny class |
Conductor |
22932 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-1265709908736 = -1 · 28 · 38 · 73 · 133 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -2 13- 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2688,7252] |
[a1,a2,a3,a4,a6] |
Generators |
[77:819:1] |
Generators of the group modulo torsion |
j |
33554432/19773 |
j-invariant |
L |
5.7620178720795 |
L(r)(E,1)/r! |
Ω |
0.523468659308 |
Real period |
R |
0.91728157449079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91728fc1 7644i1 22932p1 |
Quadratic twists by: -4 -3 -7 |