Atkin-Lehner |
3+ 7- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
127743n |
Isogeny class |
Conductor |
127743 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
-6440929803 = -1 · 32 · 77 · 11 · 79 |
Discriminant |
Eigenvalues |
0 3+ 0 7- 11- 1 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3103,-65619] |
[a1,a2,a3,a4,a6] |
j |
-28094464000/54747 |
j-invariant |
L |
1.2791505012154 |
L(r)(E,1)/r! |
Ω |
0.31978768642647 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18249o1 |
Quadratic twists by: -7 |