Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
106470fn |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
14465256099840 = 212 · 38 · 5 · 72 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17582,-874051] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:157:1] |
Generators of the group modulo torsion |
j |
375273412597/9031680 |
j-invariant |
L |
11.561357368832 |
L(r)(E,1)/r! |
Ω |
0.41521336334431 |
Real period |
R |
1.1601823690687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003063 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35490bc1 106470cb1 |
Quadratic twists by: -3 13 |