Atkin-Lehner |
2- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
83824o |
Isogeny class |
Conductor |
83824 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
56448 |
Modular degree for the optimal curve |
Δ |
-464199876608 = -1 · 219 · 134 · 31 |
Discriminant |
Eigenvalues |
2- 1 -2 0 1 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1296,27860] |
[a1,a2,a3,a4,a6] |
Generators |
[82:832:1] [268:4438:1] |
Generators of the group modulo torsion |
j |
2056223/3968 |
j-invariant |
L |
11.415230194329 |
L(r)(E,1)/r! |
Ω |
0.64541812089033 |
Real period |
R |
1.4738805002223 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10478m1 83824y1 |
Quadratic twists by: -4 13 |