Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600bc |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-504420087500000000 = -1 · 28 · 511 · 79 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7- 5 -5 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-504700,142173500] |
[a1,a2,a3,a4,a6] |
j |
-30211716096/1071875 |
j-invariant |
L |
4.6757216463424 |
L(r)(E,1)/r! |
Ω |
0.2922326028964 |
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 |
9800bm1 78400jf1 3920h1 2800h1 |
Quadratic twists by: -4 8 5 -7 |