Atkin-Lehner |
3+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
65403a |
Isogeny class |
Conductor |
65403 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32832 |
Modular degree for the optimal curve |
Δ |
-5603925249 = -1 · 33 · 136 · 43 |
Discriminant |
Eigenvalues |
1 3+ -1 3 -3 13+ -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-285,4122] |
[a1,a2,a3,a4,a6] |
Generators |
[6:48:1] |
Generators of the group modulo torsion |
j |
-19683/43 |
j-invariant |
L |
6.2371072065309 |
L(r)(E,1)/r! |
Ω |
1.201217519955 |
Real period |
R |
2.5961606046574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001071 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65403b1 387c1 |
Quadratic twists by: -3 13 |