Atkin-Lehner |
2+ 23- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
78016i |
Isogeny class |
Conductor |
78016 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
116480 |
Modular degree for the optimal curve |
Δ |
-349313207296 = -1 · 210 · 235 · 53 |
Discriminant |
Eigenvalues |
2+ -2 -3 4 0 -3 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-557,-29069] |
[a1,a2,a3,a4,a6] |
Generators |
[70:529:1] [231:3496:1] |
Generators of the group modulo torsion |
j |
-18696865792/341126179 |
j-invariant |
L |
7.0765254342179 |
L(r)(E,1)/r! |
Ω |
0.41260608778623 |
Real period |
R |
1.715080228728 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000096 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78016o1 9752e1 |
Quadratic twists by: -4 8 |