Atkin-Lehner |
13+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123539c |
Isogeny class |
Conductor |
123539 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
25640863753193 = 138 · 17 · 432 |
Discriminant |
Eigenvalues |
-1 -2 0 2 0 13+ 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7693,-90624] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:436:1] |
Generators of the group modulo torsion |
j |
10431681625/5312177 |
j-invariant |
L |
2.9416801551757 |
L(r)(E,1)/r! |
Ω |
0.53815469400394 |
Real period |
R |
2.7331176070659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054938 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9503d1 |
Quadratic twists by: 13 |