Atkin-Lehner |
2- 3+ 5+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
65790bh |
Isogeny class |
Conductor |
65790 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
75776 |
Modular degree for the optimal curve |
Δ |
-32337100800 = -1 · 216 · 33 · 52 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -2 -5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1913,33817] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:158:1] [23:28:1] |
Generators of the group modulo torsion |
j |
-28661044066227/1197670400 |
j-invariant |
L |
13.218755040189 |
L(r)(E,1)/r! |
Ω |
1.1591417109006 |
Real period |
R |
0.17818619204256 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999943 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65790k1 |
Quadratic twists by: -3 |