Atkin-Lehner |
2+ 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
58432d |
Isogeny class |
Conductor |
58432 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-3504139927552 = -1 · 218 · 115 · 83 |
Discriminant |
Eigenvalues |
2+ 0 0 -1 11- -1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7340,-258256] |
[a1,a2,a3,a4,a6] |
Generators |
[100:88:1] [166:1760:1] |
Generators of the group modulo torsion |
j |
-166829162625/13367233 |
j-invariant |
L |
9.633147878819 |
L(r)(E,1)/r! |
Ω |
0.25671790067044 |
Real period |
R |
1.8762127326659 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999963 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58432j1 913a1 |
Quadratic twists by: -4 8 |