Atkin-Lehner |
2- 3+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
58464q |
Isogeny class |
Conductor |
58464 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-1790050752 = -1 · 26 · 39 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,135,-1944] |
[a1,a2,a3,a4,a6] |
Generators |
[495:11016:1] |
Generators of the group modulo torsion |
j |
216000/1421 |
j-invariant |
L |
6.2728569922589 |
L(r)(E,1)/r! |
Ω |
0.74232840446972 |
Real period |
R |
4.2251225699818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58464u1 116928cq1 58464a1 |
Quadratic twists by: -4 8 -3 |