Atkin-Lehner |
37+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
113627a |
Isogeny class |
Conductor |
113627 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
95256 |
Modular degree for the optimal curve |
Δ |
-212955291947 = -1 · 376 · 83 |
Discriminant |
Eigenvalues |
1 -1 2 -3 3 6 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1341,-11108] |
[a1,a2,a3,a4,a6] |
Generators |
[3888232:31261170:79507] |
Generators of the group modulo torsion |
j |
103823/83 |
j-invariant |
L |
6.5485642492561 |
L(r)(E,1)/r! |
Ω |
0.55475926986887 |
Real period |
R |
11.804335083653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999037366 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83a1 |
Quadratic twists by: 37 |