Atkin-Lehner |
3- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
21417o |
Isogeny class |
Conductor |
21417 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
69696 |
Modular degree for the optimal curve |
Δ |
-9219789830691 = -1 · 36 · 118 · 59 |
Discriminant |
Eigenvalues |
2 3- -3 0 11- 4 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-20852,-1175113] |
[a1,a2,a3,a4,a6] |
j |
-4677849088/43011 |
j-invariant |
L |
4.7649015108394 |
L(r)(E,1)/r! |
Ω |
0.19853756295164 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64251w1 21417q1 |
Quadratic twists by: -3 -11 |