Atkin-Lehner |
2- 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124992dx |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
139264 |
Modular degree for the optimal curve |
Δ |
-263407140864 = -1 · 217 · 33 · 74 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 1 -1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2796,62032] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:336:1] |
Generators of the group modulo torsion |
j |
-683064198/74431 |
j-invariant |
L |
9.9354149336519 |
L(r)(E,1)/r! |
Ω |
0.95550355991699 |
Real period |
R |
0.32494040932987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999613841 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124992k1 31248f1 124992dz1 |
Quadratic twists by: -4 8 -3 |