Atkin-Lehner |
2+ 3- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
75888c |
Isogeny class |
Conductor |
75888 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-4322853430857388656 = -1 · 24 · 322 · 172 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 1 1 4 0 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,313953,73635077] |
[a1,a2,a3,a4,a6] |
j |
293406758350451456/370615006074879 |
j-invariant |
L |
2.6400347010672 |
L(r)(E,1)/r! |
Ω |
0.1650021685703 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37944e1 25296d1 |
Quadratic twists by: -4 -3 |