Atkin-Lehner |
3+ 5- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
78045m |
Isogeny class |
Conductor |
78045 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
903936 |
Modular degree for the optimal curve |
Δ |
-3596872356543675 = -1 · 3 · 52 · 1110 · 432 |
Discriminant |
Eigenvalues |
-2 3+ 5- 3 11- 6 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4880,2890106] |
[a1,a2,a3,a4,a6] |
j |
-495616/138675 |
j-invariant |
L |
1.4449713928877 |
L(r)(E,1)/r! |
Ω |
0.36124283422403 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78045e1 |
Quadratic twists by: -11 |