Atkin-Lehner |
2+ 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
106470co |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
58859277750000 = 24 · 37 · 56 · 72 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27819,1754325] |
[a1,a2,a3,a4,a6] |
Generators |
[66:417:1] [-159:1542:1] |
Generators of the group modulo torsion |
j |
1486618221997/36750000 |
j-invariant |
L |
8.8695358928421 |
L(r)(E,1)/r! |
Ω |
0.62395131540941 |
Real period |
R |
0.29614810196531 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994746 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35490da2 106470fa2 |
Quadratic twists by: -3 13 |