Atkin-Lehner |
2- 3+ 43+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
24252a |
Isogeny class |
Conductor |
24252 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
12780938550096 = 24 · 34 · 43 · 475 |
Discriminant |
Eigenvalues |
2- 3+ 3 4 -6 2 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9909,-335178] |
[a1,a2,a3,a4,a6] |
j |
6725693039706112/798808659381 |
j-invariant |
L |
2.8933280037934 |
L(r)(E,1)/r! |
Ω |
0.48222133396557 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97008bc1 72756f1 |
Quadratic twists by: -4 -3 |