Atkin-Lehner |
2- 3+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
40128bh |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.4956192909993E+21 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 11+ 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1683487,-1660451199] |
[a1,a2,a3,a4,a6] |
Generators |
[14226383:711149568:6859] |
Generators of the group modulo torsion |
j |
2012856588372458375/5705334819790848 |
j-invariant |
L |
5.5905006593606 |
L(r)(E,1)/r! |
Ω |
0.07753959218637 |
Real period |
R |
9.0123324448328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999964 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40128w2 10032p2 120384dq2 |
Quadratic twists by: -4 8 -3 |