Atkin-Lehner |
2- 7+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
104468f |
Isogeny class |
Conductor |
104468 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
310464 |
Modular degree for the optimal curve |
Δ |
786595566848 = 28 · 78 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 2 2 7+ -5 13- 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48477,-4091863] |
[a1,a2,a3,a4,a6] |
Generators |
[3542448:53350417:9261] |
Generators of the group modulo torsion |
j |
8537202688/533 |
j-invariant |
L |
11.893826271314 |
L(r)(E,1)/r! |
Ω |
0.32174847793997 |
Real period |
R |
12.322074653185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999807793 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104468r1 |
Quadratic twists by: -7 |