Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
40128cc |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-31856856768 = -1 · 26 · 39 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- 1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1453,22505] |
[a1,a2,a3,a4,a6] |
Generators |
[32:-99:1] |
Generators of the group modulo torsion |
j |
-5304438784000/497763387 |
j-invariant |
L |
6.7318756574229 |
L(r)(E,1)/r! |
Ω |
1.1432981078513 |
Real period |
R |
0.21807849268765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999936 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40128a1 10032f1 120384cv1 |
Quadratic twists by: -4 8 -3 |