Atkin-Lehner |
3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47775ct |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-7436160929925 = -1 · 34 · 52 · 710 · 13 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -5 13- 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,4752,-35883] |
[a1,a2,a3,a4,a6] |
j |
1680455/1053 |
j-invariant |
L |
1.7107228375426 |
L(r)(E,1)/r! |
Ω |
0.42768070927207 |
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 |
47775bh1 47775c1 |
Quadratic twists by: 5 -7 |