Atkin-Lehner |
2+ 5- 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
121030p |
Isogeny class |
Conductor |
121030 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3627583218841400 = -1 · 23 · 52 · 77 · 132 · 194 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- -6 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9319,-2916075] |
[a1,a2,a3,a4,a6] |
j |
-760798453689/30833948600 |
j-invariant |
L |
1.5506371927482 |
L(r)(E,1)/r! |
Ω |
0.19382966667377 |
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 |
17290e2 |
Quadratic twists by: -7 |