Atkin-Lehner |
2- 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12650z |
Isogeny class |
Conductor |
12650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1824 |
Modular degree for the optimal curve |
Δ |
126500 = 22 · 53 · 11 · 23 |
Discriminant |
Eigenvalues |
2- -2 5- 4 11- 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-23,37] |
[a1,a2,a3,a4,a6] |
j |
10793861/1012 |
j-invariant |
L |
3.2107163190674 |
L(r)(E,1)/r! |
Ω |
3.2107163190674 |
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 |
101200ci1 113850cq1 12650o1 |
Quadratic twists by: -4 -3 5 |