Atkin-Lehner |
2- 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
12432bu |
Isogeny class |
Conductor |
12432 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-815298537763584 = -1 · 28 · 38 · 7 · 375 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 3 -1 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14341,-1529329] |
[a1,a2,a3,a4,a6] |
j |
-1274243237085184/3184759913139 |
j-invariant |
L |
3.2509217882388 |
L(r)(E,1)/r! |
Ω |
0.20318261176493 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3108a1 49728dq1 37296ce1 87024ca1 |
Quadratic twists by: -4 8 -3 -7 |