Atkin-Lehner |
2+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
65072g |
Isogeny class |
Conductor |
65072 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
98112 |
Modular degree for the optimal curve |
Δ |
-6002034090752 = -1 · 28 · 710 · 83 |
Discriminant |
Eigenvalues |
2+ -1 4 7- 0 2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3201,138013] |
[a1,a2,a3,a4,a6] |
Generators |
[496272:5040085:4096] |
Generators of the group modulo torsion |
j |
-50176/83 |
j-invariant |
L |
7.1290372483819 |
L(r)(E,1)/r! |
Ω |
0.67751972308234 |
Real period |
R |
10.52225788526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996629 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32536b1 65072b1 |
Quadratic twists by: -4 -7 |