Atkin-Lehner |
2+ 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
106470bo |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-2746138462704000000 = -1 · 210 · 313 · 56 · 72 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,105210,-78666444] |
[a1,a2,a3,a4,a6] |
Generators |
[361:2322:1] |
Generators of the group modulo torsion |
j |
80414592731747/1714608000000 |
j-invariant |
L |
4.2528614665392 |
L(r)(E,1)/r! |
Ω |
0.1239383365541 |
Real period |
R |
4.289291763994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999453124 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35490dr1 106470gi1 |
Quadratic twists by: -3 13 |