Atkin-Lehner |
3- 7- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
127743bi |
Isogeny class |
Conductor |
127743 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1204224 |
Modular degree for the optimal curve |
Δ |
2530840988422593 = 38 · 79 · 112 · 79 |
Discriminant |
Eigenvalues |
-1 3- 4 7- 11- 4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-59046,4958883] |
[a1,a2,a3,a4,a6] |
j |
564174247447/62716599 |
j-invariant |
L |
3.5409006478663 |
L(r)(E,1)/r! |
Ω |
0.44261247119372 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127743m1 |
Quadratic twists by: -7 |