Atkin-Lehner |
2- 5+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
111910k |
Isogeny class |
Conductor |
111910 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
20321280 |
Modular degree for the optimal curve |
Δ |
-1.6389437245275E+24 |
Discriminant |
Eigenvalues |
2- -2 5+ -3 -4 3 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11764456,-63523184064] |
[a1,a2,a3,a4,a6] |
j |
-3827521668636130249/34837135360000000 |
j-invariant |
L |
1.4976063628936 |
L(r)(E,1)/r! |
Ω |
0.035657308540888 |
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 |
5890a1 |
Quadratic twists by: -19 |