Atkin-Lehner |
2- 5- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44770r |
Isogeny class |
Conductor |
44770 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
59400 |
Modular degree for the optimal curve |
Δ |
-671209031680 = -1 · 211 · 5 · 116 · 37 |
Discriminant |
Eigenvalues |
2- 2 5- -1 11- 0 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1510,32935] |
[a1,a2,a3,a4,a6] |
j |
214921799/378880 |
j-invariant |
L |
6.8495052076628 |
L(r)(E,1)/r! |
Ω |
0.62268229160783 |
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 |
370b1 |
Quadratic twists by: -11 |