Atkin-Lehner |
3+ 5- 29- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
18705c |
Isogeny class |
Conductor |
18705 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
18705 = 3 · 5 · 29 · 43 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-390,2802] |
[a1,a2,a3,a4,a6] |
Generators |
[36:174:1] |
Generators of the group modulo torsion |
j |
6561258219361/18705 |
j-invariant |
L |
2.8773883412943 |
L(r)(E,1)/r! |
Ω |
3.3641628696114 |
Real period |
R |
3.4212235885318 |
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 |
56115c1 93525t1 |
Quadratic twists by: -3 5 |