Atkin-Lehner |
3- 7- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
127743bf |
Isogeny class |
Conductor |
127743 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9072000 |
Modular degree for the optimal curve |
Δ |
-7039371619832937 = -1 · 3 · 710 · 113 · 792 |
Discriminant |
Eigenvalues |
1 3- 4 7- 11- 6 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-25026874,-48192206191] |
[a1,a2,a3,a4,a6] |
j |
-6137098707458453161/24920313 |
j-invariant |
L |
7.2899024229584 |
L(r)(E,1)/r! |
Ω |
0.03374954399062 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
36 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127743b1 |
Quadratic twists by: -7 |