Atkin-Lehner |
7- 29- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
58261l |
Isogeny class |
Conductor |
58261 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-484906303 = -1 · 73 · 292 · 412 |
Discriminant |
Eigenvalues |
1 -2 -4 7- 4 4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,177,557] |
[a1,a2,a3,a4,a6] |
Generators |
[109:1093:1] |
Generators of the group modulo torsion |
j |
1802485313/1413721 |
j-invariant |
L |
4.1056095854732 |
L(r)(E,1)/r! |
Ω |
1.0660829817158 |
Real period |
R |
1.9255581676931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992941 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58261n1 |
Quadratic twists by: -7 |