Atkin-Lehner |
3+ 17+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
89301b |
Isogeny class |
Conductor |
89301 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
15593472 |
Modular degree for the optimal curve |
Δ |
8.7570782210283E+22 |
Discriminant |
Eigenvalues |
-1 3+ -2 -4 -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-195098704,1048711458800] |
[a1,a2,a3,a4,a6] |
Generators |
[1535:866904:1] [7286:114981:1] |
Generators of the group modulo torsion |
j |
34024624222018010177953/3627986820474033 |
j-invariant |
L |
3.7719010138631 |
L(r)(E,1)/r! |
Ω |
0.10321379350218 |
Real period |
R |
18.272271982248 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986224 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5253a1 |
Quadratic twists by: 17 |