Atkin-Lehner |
3- 5- 7+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
39585k |
Isogeny class |
Conductor |
39585 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-16472043024255 = -1 · 316 · 5 · 7 · 13 · 292 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,5785,-96720] |
[a1,a2,a3,a4,a6] |
Generators |
[1299:13979:27] |
Generators of the group modulo torsion |
j |
21410613411117839/16472043024255 |
j-invariant |
L |
5.3053353276114 |
L(r)(E,1)/r! |
Ω |
0.38778600846262 |
Real period |
R |
6.8405450581433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
118755c1 |
Quadratic twists by: -3 |