Atkin-Lehner |
2- 3- 5- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23970w |
Isogeny class |
Conductor |
23970 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
53932500 = 22 · 33 · 54 · 17 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-287640000,1877657989932] |
[a1,a2,a3,a4,a6] |
Generators |
[9804:-2802:1] |
Generators of the group modulo torsion |
j |
2631913140833100999516620160001/53932500 |
j-invariant |
L |
10.434116991568 |
L(r)(E,1)/r! |
Ω |
0.30480867791345 |
Real period |
R |
1.4263205287485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71910d4 119850b4 |
Quadratic twists by: -3 5 |