Atkin-Lehner |
3+ 5+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
119925d |
Isogeny class |
Conductor |
119925 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
8220672 |
Modular degree for the optimal curve |
Δ |
-3.2612778094482E+19 |
Discriminant |
Eigenvalues |
2 3+ 5+ -2 -3 13- 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-19372575,-32820436969] |
[a1,a2,a3,a4,a6] |
j |
-1905908183040050491392/77304362890625 |
j-invariant |
L |
0.86353959351996 |
L(r)(E,1)/r! |
Ω |
0.035980870350957 |
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 |
119925g1 23985a1 |
Quadratic twists by: -3 5 |