Atkin-Lehner |
3+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
45423b |
Isogeny class |
Conductor |
45423 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-5498945672283 = -1 · 33 · 711 · 103 |
Discriminant |
Eigenvalues |
0 3+ -2 7- -1 2 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1764,-109160] |
[a1,a2,a3,a4,a6] |
j |
191102976/1731121 |
j-invariant |
L |
1.50762547708 |
L(r)(E,1)/r! |
Ω |
0.37690636927042 |
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 |
45423a1 6489a1 |
Quadratic twists by: -3 -7 |