Atkin-Lehner |
3+ 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
8541b |
Isogeny class |
Conductor |
8541 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1472 |
Modular degree for the optimal curve |
Δ |
-333099 = -1 · 33 · 132 · 73 |
Discriminant |
Eigenvalues |
-2 3+ 3 -2 -4 13+ -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,9,-26] |
[a1,a2,a3,a4,a6] |
Generators |
[7:19:1] |
Generators of the group modulo torsion |
j |
2985984/12337 |
j-invariant |
L |
2.3437408578008 |
L(r)(E,1)/r! |
Ω |
1.5409246044499 |
Real period |
R |
0.38024911326493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8541a1 111033a1 |
Quadratic twists by: -3 13 |