Atkin-Lehner |
2- 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
57120by |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
9219026601225000000 = 26 · 312 · 58 · 74 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-535046,36584904] |
[a1,a2,a3,a4,a6] |
j |
264678042909331239616/144047290644140625 |
j-invariant |
L |
2.4132661372143 |
L(r)(E,1)/r! |
Ω |
0.20110551140298 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
57120bn1 114240hd2 |
Quadratic twists by: -4 8 |