Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600dg |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.4476341796875E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7203408,-4678351812] |
[a1,a2,a3,a4,a6] |
Generators |
[20497701811470:-1029743645964789:4657463000] |
Generators of the group modulo torsion |
j |
43919722445768/15380859375 |
j-invariant |
L |
7.9693072504806 |
L(r)(E,1)/r! |
Ω |
0.094803697486781 |
Real period |
R |
21.015285914867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020824 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600fd3 23520bh3 16800f2 |
Quadratic twists by: -4 5 -7 |