Atkin-Lehner |
2+ 3- 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
46350t |
Isogeny class |
Conductor |
46350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-56315250000 = -1 · 24 · 37 · 56 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -6 1 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,333,-11259] |
[a1,a2,a3,a4,a6] |
Generators |
[18:9:1] |
Generators of the group modulo torsion |
j |
357911/4944 |
j-invariant |
L |
3.8929179846917 |
L(r)(E,1)/r! |
Ω |
0.54665592002444 |
Real period |
R |
1.7803328575041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15450bf1 1854f1 |
Quadratic twists by: -3 5 |