Atkin-Lehner |
2+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
3952b |
Isogeny class |
Conductor |
3952 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
160 |
Modular degree for the optimal curve |
Δ |
-3952 = -1 · 24 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 0 2 -2 6 13+ 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1,-3] |
[a1,a2,a3,a4,a6] |
j |
6912/247 |
j-invariant |
L |
2.1190797438047 |
L(r)(E,1)/r! |
Ω |
2.1190797438047 |
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 |
1976a1 15808q1 35568n1 98800q1 |
Quadratic twists by: -4 8 -3 5 |