Atkin-Lehner |
2- 3- 5- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
85140n |
Isogeny class |
Conductor |
85140 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
985477193197200 = 24 · 316 · 52 · 113 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 11+ -2 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27237,-843959] |
[a1,a2,a3,a4,a6] |
j |
191581696009984/84488785425 |
j-invariant |
L |
1.5482082905117 |
L(r)(E,1)/r! |
Ω |
0.38705206980435 |
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 |
28380d1 |
Quadratic twists by: -3 |