Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488ij |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-104315904 = -1 · 210 · 33 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11- 7 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-121,671] |
[a1,a2,a3,a4,a6] |
Generators |
[2:21:1] |
Generators of the group modulo torsion |
j |
-562432/297 |
j-invariant |
L |
8.3763033241116 |
L(r)(E,1)/r! |
Ω |
1.7535957843141 |
Real period |
R |
0.79610738248074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030364 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488p1 25872bi1 103488gc1 |
Quadratic twists by: -4 8 -7 |