Atkin-Lehner |
3- 17+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
15453d |
Isogeny class |
Conductor |
15453 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
46800 |
Modular degree for the optimal curve |
Δ |
104542651053 = 36 · 175 · 101 |
Discriminant |
Eigenvalues |
2 3- 4 3 3 -1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5403,-152069] |
[a1,a2,a3,a4,a6] |
j |
23927707242496/143405557 |
j-invariant |
L |
8.9128697998169 |
L(r)(E,1)/r! |
Ω |
0.55705436248856 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1717c1 |
Quadratic twists by: -3 |