Atkin-Lehner |
2+ 3+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
4902b |
Isogeny class |
Conductor |
4902 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4480 |
Modular degree for the optimal curve |
Δ |
136589328 = 24 · 35 · 19 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 4 0 -6 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-153,405] |
[a1,a2,a3,a4,a6] |
j |
400152624409/136589328 |
j-invariant |
L |
1.6955804879219 |
L(r)(E,1)/r! |
Ω |
1.6955804879219 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39216x1 14706s1 122550cg1 93138bi1 |
Quadratic twists by: -4 -3 5 -19 |