Atkin-Lehner |
2- 3- 5- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
116850cs |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
236800 |
Modular degree for the optimal curve |
Δ |
-4952852592750 = -1 · 2 · 32 · 53 · 19 · 415 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -3 -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1547,-104353] |
[a1,a2,a3,a4,a6] |
j |
3275420737051/39622820742 |
j-invariant |
L |
7.55120017002 |
L(r)(E,1)/r! |
Ω |
0.37756004552874 |
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 |
116850t1 |
Quadratic twists by: 5 |