Atkin-Lehner |
7+ 31+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
126077a |
Isogeny class |
Conductor |
126077 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43584 |
Modular degree for the optimal curve |
Δ |
-191510963 = -1 · 74 · 312 · 83 |
Discriminant |
Eigenvalues |
0 0 -4 7+ -3 4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,98,551] |
[a1,a2,a3,a4,a6] |
Generators |
[1:25:1] [9:46:1] |
Generators of the group modulo torsion |
j |
43352064/79763 |
j-invariant |
L |
6.8162410043532 |
L(r)(E,1)/r! |
Ω |
1.2323184397475 |
Real period |
R |
2.7656167345802 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000008448 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126077c1 |
Quadratic twists by: -7 |