Atkin-Lehner |
2+ 3- 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75240c |
Isogeny class |
Conductor |
75240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
-10688705498631600 = -1 · 24 · 38 · 52 · 118 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31098,-5403503] |
[a1,a2,a3,a4,a6] |
j |
-285150133221376/916384216275 |
j-invariant |
L |
0.66266202542515 |
L(r)(E,1)/r! |
Ω |
0.16566551214042 |
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 |
25080v1 |
Quadratic twists by: -3 |