Atkin-Lehner |
2- 3- 5- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23970w |
Isogeny class |
Conductor |
23970 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
2908714556250000 = 24 · 36 · 58 · 172 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17977500,29337282432] |
[a1,a2,a3,a4,a6] |
Generators |
[2454:-1752:1] |
Generators of the group modulo torsion |
j |
642556921242980781788760001/2908714556250000 |
j-invariant |
L |
10.434116991568 |
L(r)(E,1)/r! |
Ω |
0.30480867791345 |
Real period |
R |
0.71316026437427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
71910d2 119850b2 |
Quadratic twists by: -3 5 |