Atkin-Lehner |
2- 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40128bs |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
12 |
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 |
[7:-48:1] |
Generators of the group modulo torsion |
j |
9314926/5643 |
j-invariant |
L |
4.0076352856394 |
L(r)(E,1)/r! |
Ω |
0.98384531748332 |
Real period |
R |
0.33945336853469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999947 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40128o1 10032c1 120384dl1 |
Quadratic twists by: -4 8 -3 |