Atkin-Lehner |
2- 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40128cb |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
37120 |
Modular degree for the optimal curve |
Δ |
-20545536 = -1 · 215 · 3 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- -3 2 11- 4 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5857,170591] |
[a1,a2,a3,a4,a6] |
j |
-678224691656/627 |
j-invariant |
L |
3.6134792123194 |
L(r)(E,1)/r! |
Ω |
1.8067396061559 |
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 |
40128bl1 20064e1 120384ct1 |
Quadratic twists by: -4 8 -3 |