Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
106470fd |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-124156289003906250 = -1 · 2 · 310 · 510 · 72 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 6 13- 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7403,-16952763] |
[a1,a2,a3,a4,a6] |
Generators |
[415590:6976407:1000] |
Generators of the group modulo torsion |
j |
-28011371653/77519531250 |
j-invariant |
L |
12.008841658199 |
L(r)(E,1)/r! |
Ω |
0.14978485940811 |
Real period |
R |
10.021741956522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999819662 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35490w2 106470cr2 |
Quadratic twists by: -3 13 |