Atkin-Lehner |
2- 7+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
104468a |
Isogeny class |
Conductor |
104468 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
254016 |
Modular degree for the optimal curve |
Δ |
1322267147871488 = 28 · 78 · 13 · 413 |
Discriminant |
Eigenvalues |
2- 0 0 7+ 1 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27440,9604] |
[a1,a2,a3,a4,a6] |
Generators |
[196:1470:1] [-132:1154:1] |
Generators of the group modulo torsion |
j |
1548288000/895973 |
j-invariant |
L |
11.426709434611 |
L(r)(E,1)/r! |
Ω |
0.40774764606495 |
Real period |
R |
3.1137748896708 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998743 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104468w1 |
Quadratic twists by: -7 |