Atkin-Lehner |
2- 3- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
7866r |
Isogeny class |
Conductor |
7866 |
Conductor |
∏ cp |
25 |
Product of Tamagawa factors cp |
deg |
50400 |
Modular degree for the optimal curve |
Δ |
3858922519658496 = 225 · 36 · 193 · 23 |
Discriminant |
Eigenvalues |
2- 3- -1 2 -5 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-118703,-15425225] |
[a1,a2,a3,a4,a6] |
Generators |
[-205:614:1] |
Generators of the group modulo torsion |
j |
253733516886870441/5293446529024 |
j-invariant |
L |
5.9989730468067 |
L(r)(E,1)/r! |
Ω |
0.25753446807799 |
Real period |
R |
0.93175458672819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62928bn1 874b1 |
Quadratic twists by: -4 -3 |