Atkin-Lehner |
3+ 7+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
104181c |
Isogeny class |
Conductor |
104181 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
16953269949 = 35 · 73 · 112 · 412 |
Discriminant |
Eigenvalues |
0 3+ -3 7+ 11- 0 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4187,105500] |
[a1,a2,a3,a4,a6] |
Generators |
[40:20:1] |
Generators of the group modulo torsion |
j |
67104391856128/140109669 |
j-invariant |
L |
2.7050335998003 |
L(r)(E,1)/r! |
Ω |
1.2354460312666 |
Real period |
R |
1.0947599221243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999920292 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104181i1 |
Quadratic twists by: -11 |