Atkin-Lehner |
2- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
123704j |
Isogeny class |
Conductor |
123704 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
-247408 = -1 · 24 · 7 · 472 |
Discriminant |
Eigenvalues |
2- 2 -2 7- -1 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,16,-7] |
[a1,a2,a3,a4,a6] |
Generators |
[1:3:1] [28:147:1] |
Generators of the group modulo torsion |
j |
12032/7 |
j-invariant |
L |
14.778786597021 |
L(r)(E,1)/r! |
Ω |
1.8452751448084 |
Real period |
R |
4.0044940288601 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993516 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123704i1 |
Quadratic twists by: -47 |