Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
2394l |
Isogeny class |
Conductor |
2394 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
659695428 = 22 · 311 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 2 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-824,-8809] |
[a1,a2,a3,a4,a6] |
j |
84778086457/904932 |
j-invariant |
L |
3.5669659915827 |
L(r)(E,1)/r! |
Ω |
0.89174149789568 |
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 |
19152bt1 76608bj1 798c1 59850ck1 |
Quadratic twists by: -4 8 -3 5 |