Atkin-Lehner |
3+ 7+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
127743b |
Isogeny class |
Conductor |
127743 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1296000 |
Modular degree for the optimal curve |
Δ |
-59833671513 = -1 · 3 · 74 · 113 · 792 |
Discriminant |
Eigenvalues |
1 3+ -4 7+ 11- -6 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-510752,140283165] |
[a1,a2,a3,a4,a6] |
Generators |
[4598:46365:8] [412:-213:1] |
Generators of the group modulo torsion |
j |
-6137098707458453161/24920313 |
j-invariant |
L |
8.6551768827766 |
L(r)(E,1)/r! |
Ω |
0.74552157100555 |
Real period |
R |
0.6449755167069 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999933203 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127743bf1 |
Quadratic twists by: -7 |