Atkin-Lehner |
2- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
23072d |
Isogeny class |
Conductor |
23072 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
46144 = 26 · 7 · 103 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 2 -4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-241,1440] |
[a1,a2,a3,a4,a6] |
j |
24187716288/721 |
j-invariant |
L |
1.6708824988326 |
L(r)(E,1)/r! |
Ω |
3.3417649976652 |
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 |
23072c1 46144t1 |
Quadratic twists by: -4 8 |