Atkin-Lehner |
2+ 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
2394d |
Isogeny class |
Conductor |
2394 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
6079753064448 = 212 · 313 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 6 -4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9135,-312147] |
[a1,a2,a3,a4,a6] |
j |
115650783909361/8339853312 |
j-invariant |
L |
1.9622369381732 |
L(r)(E,1)/r! |
Ω |
0.4905592345433 |
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 |
19152ca1 76608bz1 798h1 59850fj1 |
Quadratic twists by: -4 8 -3 5 |