Atkin-Lehner |
2- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
45968s |
Isogeny class |
Conductor |
45968 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
52416 |
Modular degree for the optimal curve |
Δ |
-3550060097792 = -1 · 28 · 138 · 17 |
Discriminant |
Eigenvalues |
2- 1 2 1 4 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-732,90728] |
[a1,a2,a3,a4,a6] |
Generators |
[64850863:1522537346:117649] |
Generators of the group modulo torsion |
j |
-208/17 |
j-invariant |
L |
9.2063602157928 |
L(r)(E,1)/r! |
Ω |
0.65089845609034 |
Real period |
R |
14.144080585327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999852 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11492a1 45968t1 |
Quadratic twists by: -4 13 |