Atkin-Lehner |
2- 7- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
104468z |
Isogeny class |
Conductor |
104468 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
435456 |
Modular degree for the optimal curve |
Δ |
-930542555581184 = -1 · 28 · 79 · 133 · 41 |
Discriminant |
Eigenvalues |
2- -1 -1 7- 4 13- -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-123741,-16776983] |
[a1,a2,a3,a4,a6] |
Generators |
[411:1274:1] |
Generators of the group modulo torsion |
j |
-6957286383616/30896411 |
j-invariant |
L |
4.2137781526506 |
L(r)(E,1)/r! |
Ω |
0.12724052910528 |
Real period |
R |
1.839813052882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998072 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14924c1 |
Quadratic twists by: -7 |