Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610cm |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
-7136088533731125000 = -1 · 23 · 36 · 56 · 238 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 -4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,440293,-62348461] |
[a1,a2,a3,a4,a6] |
Generators |
[375879:44210342:27] |
Generators of the group modulo torsion |
j |
165348311/125000 |
j-invariant |
L |
7.8714408856462 |
L(r)(E,1)/r! |
Ω |
0.13175295911686 |
Real period |
R |
9.9573233350066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
5290a2 47610ca2 |
Quadratic twists by: -3 -23 |