Atkin-Lehner |
2+ 3- 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
111150ct |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
33352704 |
Modular degree for the optimal curve |
Δ |
-1.5627349324738E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 -5 13- 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-29510892,-199947489584] |
[a1,a2,a3,a4,a6] |
Generators |
[64824:-16472732:1] |
Generators of the group modulo torsion |
j |
-6238255884831248959825/34298709080358780928 |
j-invariant |
L |
3.7397832759046 |
L(r)(E,1)/r! |
Ω |
0.029101007359741 |
Real period |
R |
0.38247154215091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000184845 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12350ba1 111150el1 |
Quadratic twists by: -3 5 |