Atkin-Lehner |
2- 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
112632z |
Isogeny class |
Conductor |
112632 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
20736000 |
Modular degree for the optimal curve |
Δ |
4.9406254303924E+23 |
Discriminant |
Eigenvalues |
2- 3- 0 4 -2 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-201496963,-1100455229650] |
[a1,a2,a3,a4,a6] |
Generators |
[225664131:-26934093397:9261] |
Generators of the group modulo torsion |
j |
1201953427358681344000/656357332110597 |
j-invariant |
L |
9.5132517166152 |
L(r)(E,1)/r! |
Ω |
0.040072520771018 |
Real period |
R |
13.188937757893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037948 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5928a1 |
Quadratic twists by: -19 |