Atkin-Lehner |
2+ 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
114638c |
Isogeny class |
Conductor |
114638 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9072 |
Modular degree for the optimal curve |
Δ |
-114638 = -1 · 2 · 31 · 432 |
Discriminant |
Eigenvalues |
2+ 1 0 -3 0 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4,16] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:1:1] [14:33:8] |
Generators of the group modulo torsion |
j |
5375/62 |
j-invariant |
L |
9.6957381010265 |
L(r)(E,1)/r! |
Ω |
2.453413776312 |
Real period |
R |
3.9519375822548 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999933967 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114638h1 |
Quadratic twists by: -43 |