Atkin-Lehner |
2- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
51772c |
Isogeny class |
Conductor |
51772 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4080384 |
Modular degree for the optimal curve |
Δ |
-4.0114693148883E+20 |
Discriminant |
Eigenvalues |
2- -2 4 7- 5 -1 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8219421,9118362127] |
[a1,a2,a3,a4,a6] |
j |
-37948686032896/247886443 |
j-invariant |
L |
2.7107884264962 |
L(r)(E,1)/r! |
Ω |
0.16942427680864 |
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 |
1204a1 |
Quadratic twists by: -43 |