Atkin-Lehner |
2+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72128a |
Isogeny class |
Conductor |
72128 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-28551036731392 = -1 · 216 · 77 · 232 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 0 -4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11564,-543312] |
[a1,a2,a3,a4,a6] |
j |
-22180932/3703 |
j-invariant |
L |
1.8248636911132 |
L(r)(E,1)/r! |
Ω |
0.22810796152647 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72128bv1 9016a1 10304a1 |
Quadratic twists by: -4 8 -7 |