Atkin-Lehner |
2- 3+ 5- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
23970r |
Isogeny class |
Conductor |
23970 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
59201240648478750 = 2 · 320 · 54 · 172 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-175640,-25874053] |
[a1,a2,a3,a4,a6] |
Generators |
[3878:12337:8] |
Generators of the group modulo torsion |
j |
599230833525853695361/59201240648478750 |
j-invariant |
L |
6.150839362935 |
L(r)(E,1)/r! |
Ω |
0.23469082825863 |
Real period |
R |
6.5520661891363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71910c3 119850v3 |
Quadratic twists by: -3 5 |