Atkin-Lehner |
2+ 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
10416m |
Isogeny class |
Conductor |
10416 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-183082032 = -1 · 24 · 35 · 72 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- -6 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9,-648] |
[a1,a2,a3,a4,a6] |
j |
4499456/11442627 |
j-invariant |
L |
4.1736137810789 |
L(r)(E,1)/r! |
Ω |
0.83472275621577 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5208h1 41664dd1 31248y1 72912k1 |
Quadratic twists by: -4 8 -3 -7 |