Atkin-Lehner |
2- 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
3894p |
Isogeny class |
Conductor |
3894 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
17472 |
Modular degree for the optimal curve |
Δ |
172888564684176 = 24 · 314 · 11 · 593 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11- -2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-49982,-4258380] |
[a1,a2,a3,a4,a6] |
j |
13809092721694064353/172888564684176 |
j-invariant |
L |
4.4735571915435 |
L(r)(E,1)/r! |
Ω |
0.31953979939596 |
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 |
31152m1 124608h1 11682d1 97350g1 |
Quadratic twists by: -4 8 -3 5 |