Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040gd |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-289013760 = -1 · 217 · 32 · 5 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 1 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,159,-225] |
[a1,a2,a3,a4,a6] |
j |
68782/45 |
j-invariant |
L |
3.9530967249985 |
L(r)(E,1)/r! |
Ω |
0.9882741812426 |
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 |
47040k1 11760o1 47040ew1 |
Quadratic twists by: -4 8 -7 |