Atkin-Lehner |
2+ 3- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
111150bz |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
6386688 |
Modular degree for the optimal curve |
Δ |
-7.5092806854749E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 3 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2968992,-2368963584] |
[a1,a2,a3,a4,a6] |
j |
-254099214331341625/65925097924608 |
j-invariant |
L |
3.1771806109272 |
L(r)(E,1)/r! |
Ω |
0.056735367923902 |
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 |
37050ck1 4446p1 |
Quadratic twists by: -3 5 |