Atkin-Lehner |
2+ 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200d |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-91766220000000000 = -1 · 211 · 3 · 510 · 76 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 2 13+ 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,104792,-6511088] |
[a1,a2,a3,a4,a6] |
Generators |
[1896:83692:1] |
Generators of the group modulo torsion |
j |
6363176350/4588311 |
j-invariant |
L |
5.330665242701 |
L(r)(E,1)/r! |
Ω |
0.19050691778286 |
Real period |
R |
3.4976848103091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041266 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54600z1 109200co1 |
Quadratic twists by: -4 5 |