Atkin-Lehner |
2+ 3+ 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
104442g |
Isogeny class |
Conductor |
104442 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
344448 |
Modular degree for the optimal curve |
Δ |
19660741837542 = 2 · 32 · 139 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -3 -1 13- 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10481,-358041] |
[a1,a2,a3,a4,a6] |
Generators |
[239:-3415:1] |
Generators of the group modulo torsion |
j |
12008989/1854 |
j-invariant |
L |
2.4719550805924 |
L(r)(E,1)/r! |
Ω |
0.47673798608016 |
Real period |
R |
1.2962859830891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019195 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104442bd1 |
Quadratic twists by: 13 |