Atkin-Lehner |
3- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
45177b |
Isogeny class |
Conductor |
45177 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1193472 |
Modular degree for the optimal curve |
Δ |
-3.4704034274177E+20 |
Discriminant |
Eigenvalues |
0 3- 3 -2 11+ 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1249441,-716779816] |
[a1,a2,a3,a4,a6] |
j |
44859392/72171 |
j-invariant |
L |
2.8779220757181 |
L(r)(E,1)/r! |
Ω |
0.089935064864987 |
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 |
45177c1 |
Quadratic twists by: 37 |