Atkin-Lehner |
2- 5- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
123760bl |
Isogeny class |
Conductor |
123760 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
3763200 |
Modular degree for the optimal curve |
Δ |
-1.468912549928E+20 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 3 13- 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1600040,-973614412] |
[a1,a2,a3,a4,a6] |
Generators |
[12206:1340960:1] |
Generators of the group modulo torsion |
j |
-110600363730832171561/35862122800977200 |
j-invariant |
L |
9.3865750965242 |
L(r)(E,1)/r! |
Ω |
0.066027854502623 |
Real period |
R |
2.5385863814094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012164 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15470h1 |
Quadratic twists by: -4 |