Atkin-Lehner |
2+ 3- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
46350y |
Isogeny class |
Conductor |
46350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-27680071680000 = -1 · 216 · 38 · 54 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -2 3 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9117,-417659] |
[a1,a2,a3,a4,a6] |
Generators |
[2570:128891:1] |
Generators of the group modulo torsion |
j |
-183949590625/60751872 |
j-invariant |
L |
3.8465300982666 |
L(r)(E,1)/r! |
Ω |
0.24026057693814 |
Real period |
R |
4.0024565695407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999891 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15450z1 46350ca1 |
Quadratic twists by: -3 5 |