Atkin-Lehner |
2+ 3+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
40128o |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-739639296 = -1 · 217 · 33 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -3 2 11- -4 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,223,-351] |
[a1,a2,a3,a4,a6] |
Generators |
[9:48:1] |
Generators of the group modulo torsion |
j |
9314926/5643 |
j-invariant |
L |
4.0306146141945 |
L(r)(E,1)/r! |
Ω |
0.92993369045657 |
Real period |
R |
1.0835758117911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40128bs1 5016d1 120384bd1 |
Quadratic twists by: -4 8 -3 |