Atkin-Lehner |
2- 3+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
40128bo |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
64000 |
Modular degree for the optimal curve |
Δ |
-12182691299328 = -1 · 214 · 35 · 115 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- -1 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5627,40669] |
[a1,a2,a3,a4,a6] |
j |
1202423168000/743572467 |
j-invariant |
L |
2.2031054022259 |
L(r)(E,1)/r! |
Ω |
0.44062108044546 |
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 |
40128q1 10032d1 120384cu1 |
Quadratic twists by: -4 8 -3 |