Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040fh |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-27664719989760 = -1 · 210 · 38 · 5 · 77 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3005,261885] |
[a1,a2,a3,a4,a6] |
j |
-24918016/229635 |
j-invariant |
L |
2.275926614587 |
L(r)(E,1)/r! |
Ω |
0.56898165366781 |
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 |
47040do1 11760y1 6720ca1 |
Quadratic twists by: -4 8 -7 |