Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040g |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-78098756843520000 = -1 · 214 · 33 · 54 · 710 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 1 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15609701,-23732575299] |
[a1,a2,a3,a4,a6] |
j |
-90888126966784/16875 |
j-invariant |
L |
1.8988510980587 |
L(r)(E,1)/r! |
Ω |
0.037977021965261 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47040ga1 5880m1 47040cw1 |
Quadratic twists by: -4 8 -7 |