Atkin-Lehner |
2- 3+ 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
29070u |
Isogeny class |
Conductor |
29070 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-2566884633750000 = -1 · 24 · 39 · 57 · 172 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,32317,962227] |
[a1,a2,a3,a4,a6] |
j |
189643574698677/130411250000 |
j-invariant |
L |
2.3050710546476 |
L(r)(E,1)/r! |
Ω |
0.28813388183077 |
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 |
29070d1 |
Quadratic twists by: -3 |