Atkin-Lehner |
3- 5- 29- 43- |
Signs for the Atkin-Lehner involutions |
Class |
18705n |
Isogeny class |
Conductor |
18705 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
10880 |
Modular degree for the optimal curve |
Δ |
1508090625 = 32 · 55 · 29 · 432 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1845,-30600] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:20:1] |
Generators of the group modulo torsion |
j |
694588414902481/1508090625 |
j-invariant |
L |
4.185864263005 |
L(r)(E,1)/r! |
Ω |
0.72854417537681 |
Real period |
R |
1.1491037618522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56115h1 93525g1 |
Quadratic twists by: -3 5 |