Atkin-Lehner |
2- 11+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
123728m |
Isogeny class |
Conductor |
123728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
219648 |
Modular degree for the optimal curve |
Δ |
-10792597454848 = -1 · 220 · 114 · 19 · 37 |
Discriminant |
Eigenvalues |
2- 0 -2 0 11+ 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10091,-420966] |
[a1,a2,a3,a4,a6] |
j |
-27743827956417/2634911488 |
j-invariant |
L |
0.47378175082945 |
L(r)(E,1)/r! |
Ω |
0.23689061673397 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15466e1 |
Quadratic twists by: -4 |