Atkin-Lehner |
2+ 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
116200l |
Isogeny class |
Conductor |
116200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-26028800 = -1 · 28 · 52 · 72 · 83 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 0 0 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-148,688] |
[a1,a2,a3,a4,a6] |
Generators |
[12:28:1] |
Generators of the group modulo torsion |
j |
-56397520/4067 |
j-invariant |
L |
7.2660656675101 |
L(r)(E,1)/r! |
Ω |
2.079061625595 |
Real period |
R |
0.87371937063719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010166 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116200x1 |
Quadratic twists by: 5 |