Atkin-Lehner |
2- 3+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
58656p |
Isogeny class |
Conductor |
58656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18048 |
Modular degree for the optimal curve |
Δ |
-49622976 = -1 · 26 · 33 · 13 · 472 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 -4 13- 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,86,-176] |
[a1,a2,a3,a4,a6] |
Generators |
[3:10:1] |
Generators of the group modulo torsion |
j |
1086373952/775359 |
j-invariant |
L |
2.6364123611379 |
L(r)(E,1)/r! |
Ω |
1.1291729073229 |
Real period |
R |
2.3348172313293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998865 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58656n1 117312v1 |
Quadratic twists by: -4 8 |