Atkin-Lehner |
2- 11- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
24596f |
Isogeny class |
Conductor |
24596 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
423168 |
Modular degree for the optimal curve |
Δ |
-5562461264911426304 = -1 · 28 · 11 · 132 · 438 |
Discriminant |
Eigenvalues |
2- 1 3 2 11- 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-964309,381412903] |
[a1,a2,a3,a4,a6] |
j |
-387376131216121004032/21728364316060259 |
j-invariant |
L |
3.8008081276018 |
L(r)(E,1)/r! |
Ω |
0.23755050797511 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98384h1 |
Quadratic twists by: -4 |