Atkin-Lehner |
13+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
7163a |
Isogeny class |
Conductor |
7163 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
7380 |
Modular degree for the optimal curve |
Δ |
-73854261923 = -1 · 135 · 193 · 29 |
Discriminant |
Eigenvalues |
2 -1 0 0 5 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2408,48135] |
[a1,a2,a3,a4,a6] |
j |
-1544804416000000/73854261923 |
j-invariant |
L |
3.2393400440116 |
L(r)(E,1)/r! |
Ω |
1.0797800146705 |
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 |
114608c1 64467n1 93119a1 |
Quadratic twists by: -4 -3 13 |