Atkin-Lehner |
2- 3- 19+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
127794bj |
Isogeny class |
Conductor |
127794 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1860480 |
Modular degree for the optimal curve |
Δ |
162328895545878 = 2 · 34 · 198 · 59 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 4 -5 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-270216,-54083862] |
[a1,a2,a3,a4,a6] |
Generators |
[1037190:27440133:1000] |
Generators of the group modulo torsion |
j |
128477828449/9558 |
j-invariant |
L |
17.724585472996 |
L(r)(E,1)/r! |
Ω |
0.20939857395637 |
Real period |
R |
7.0537671025005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000115991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127794m1 |
Quadratic twists by: -19 |