Atkin-Lehner |
2- 3- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
46350bu |
Isogeny class |
Conductor |
46350 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-24328188000000000 = -1 · 211 · 310 · 59 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 5 3 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,7870,-7501503] |
[a1,a2,a3,a4,a6] |
Generators |
[209:1695:1] |
Generators of the group modulo torsion |
j |
4733169839/2135808000 |
j-invariant |
L |
10.857621243002 |
L(r)(E,1)/r! |
Ω |
0.1772280308901 |
Real period |
R |
1.3923537824101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15450d1 9270f1 |
Quadratic twists by: -3 5 |