Atkin-Lehner |
2- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
104104p |
Isogeny class |
Conductor |
104104 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-1615589089866752 = -1 · 210 · 73 · 115 · 134 |
Discriminant |
Eigenvalues |
2- 1 2 7+ 11- 13+ 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44672,-4131568] |
[a1,a2,a3,a4,a6] |
Generators |
[7424:639452:1] |
Generators of the group modulo torsion |
j |
-337105825732/55240493 |
j-invariant |
L |
9.7169865546145 |
L(r)(E,1)/r! |
Ω |
0.16273253880651 |
Real period |
R |
5.9711392890853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999936327 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104104h1 |
Quadratic twists by: 13 |