Atkin-Lehner |
2- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
42688q |
Isogeny class |
Conductor |
42688 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-447285962276864 = -1 · 216 · 234 · 293 |
Discriminant |
Eigenvalues |
2- 3 3 2 -3 -7 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,884,1017488] |
[a1,a2,a3,a4,a6] |
Generators |
[11694:245456:27] |
Generators of the group modulo torsion |
j |
1165736988/6825042149 |
j-invariant |
L |
12.980316291454 |
L(r)(E,1)/r! |
Ω |
0.41568099647491 |
Real period |
R |
1.3011095448922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42688l1 10672b1 |
Quadratic twists by: -4 8 |