Atkin-Lehner |
3- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
8541c |
Isogeny class |
Conductor |
8541 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
6556387617 = 312 · 132 · 73 |
Discriminant |
Eigenvalues |
1 3- 0 4 2 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2232,40963] |
[a1,a2,a3,a4,a6] |
j |
1687284042625/8993673 |
j-invariant |
L |
2.6844676148188 |
L(r)(E,1)/r! |
Ω |
1.3422338074094 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2847a1 111033g1 |
Quadratic twists by: -3 13 |