Atkin-Lehner |
2+ 3- 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
127512f |
Isogeny class |
Conductor |
127512 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
524288 |
Modular degree for the optimal curve |
Δ |
-1207636200196272 = -1 · 24 · 37 · 7 · 118 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42474,-3761287] |
[a1,a2,a3,a4,a6] |
Generators |
[11357355089798795:-94667912255027016:41403781194875] |
Generators of the group modulo torsion |
j |
-726516846671872/103535339523 |
j-invariant |
L |
8.5082630796521 |
L(r)(E,1)/r! |
Ω |
0.1649761213153 |
Real period |
R |
25.786347121417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020791 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42504n1 |
Quadratic twists by: -3 |