Atkin-Lehner |
3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
12201h |
Isogeny class |
Conductor |
12201 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1512 |
Modular degree for the optimal curve |
Δ |
-1012683 = -1 · 3 · 72 · 832 |
Discriminant |
Eigenvalues |
0 3- 0 7- 4 1 -8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-23,-73] |
[a1,a2,a3,a4,a6] |
j |
-28672000/20667 |
j-invariant |
L |
2.1056144296265 |
L(r)(E,1)/r! |
Ω |
1.0528072148133 |
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 |
36603i1 12201a1 |
Quadratic twists by: -3 -7 |