Atkin-Lehner |
3- 13- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
8541d |
Isogeny class |
Conductor |
8541 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6400 |
Modular degree for the optimal curve |
Δ |
531067396977 = 316 · 132 · 73 |
Discriminant |
Eigenvalues |
1 3- 0 -2 0 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3042,54999] |
[a1,a2,a3,a4,a6] |
Generators |
[46:81:1] |
Generators of the group modulo torsion |
j |
4271241390625/728487513 |
j-invariant |
L |
4.6924515385671 |
L(r)(E,1)/r! |
Ω |
0.88317148527001 |
Real period |
R |
2.6565913963654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2847b1 111033f1 |
Quadratic twists by: -3 13 |