Atkin-Lehner |
2- 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
51984cu |
Isogeny class |
Conductor |
51984 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-1501361274772224 = -1 · 28 · 38 · 197 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 -5 6 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8664,-1838212] |
[a1,a2,a3,a4,a6] |
j |
8192/171 |
j-invariant |
L |
3.7098247438311 |
L(r)(E,1)/r! |
Ω |
0.23186404647382 |
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 |
12996p1 17328w1 2736p1 |
Quadratic twists by: -4 -3 -19 |