Atkin-Lehner |
5- 7- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
110495d |
Isogeny class |
Conductor |
110495 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
3225600 |
Modular degree for the optimal curve |
Δ |
-3.6077875512992E+19 |
Discriminant |
Eigenvalues |
0 -2 5- 7- 11+ -6 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-4161635,3279081306] |
[a1,a2,a3,a4,a6] |
Generators |
[-18310:229071:8] [730:-25113:1] |
Generators of the group modulo torsion |
j |
-67752845331653361664/306656882021875 |
j-invariant |
L |
6.8037040232597 |
L(r)(E,1)/r! |
Ω |
0.20701844218934 |
Real period |
R |
0.1643260366008 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002367 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15785a1 |
Quadratic twists by: -7 |