Atkin-Lehner |
2- 5- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12650y |
Isogeny class |
Conductor |
12650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-94826828800000000 = -1 · 216 · 58 · 115 · 23 |
Discriminant |
Eigenvalues |
2- 2 5- -4 11+ -4 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-18623138,30925626031] |
[a1,a2,a3,a4,a6] |
Generators |
[2489:-1053:1] |
Generators of the group modulo torsion |
j |
-1828614938291990370625/242756681728 |
j-invariant |
L |
8.5827420820548 |
L(r)(E,1)/r! |
Ω |
0.26305409099349 |
Real period |
R |
2.039205617759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101200cn1 113850da1 12650g1 |
Quadratic twists by: -4 -3 5 |