Atkin-Lehner |
2- 3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47880bj |
Isogeny class |
Conductor |
47880 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
1081344 |
Modular degree for the optimal curve |
Δ |
1.2143296142578E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1376562,-324571259] |
[a1,a2,a3,a4,a6] |
j |
24732244498181085184/10410919189453125 |
j-invariant |
L |
2.3154324927179 |
L(r)(E,1)/r! |
Ω |
0.1447145308394 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
95760bm1 15960c1 |
Quadratic twists by: -4 -3 |