Atkin-Lehner |
3- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
45951j |
Isogeny class |
Conductor |
45951 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
40440582699276447 = 39 · 173 · 535 |
Discriminant |
Eigenvalues |
-1 3- 0 -1 -4 -3 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-126248,14289585] |
[a1,a2,a3,a4,a6] |
Generators |
[109:1297:1] |
Generators of the group modulo torsion |
j |
45295043748844625/8231341888719 |
j-invariant |
L |
3.1526318064859 |
L(r)(E,1)/r! |
Ω |
0.34523730299805 |
Real period |
R |
0.10146424499923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45951f1 |
Quadratic twists by: 17 |