Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610o |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1413120 |
Modular degree for the optimal curve |
Δ |
-1.0635626350673E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 6 -6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-599985,-237793559] |
[a1,a2,a3,a4,a6] |
Generators |
[7460:636899:1] |
Generators of the group modulo torsion |
j |
-18191447/8100 |
j-invariant |
L |
4.322102174009 |
L(r)(E,1)/r! |
Ω |
0.083959325493938 |
Real period |
R |
6.4348155320672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15870bb1 47610y1 |
Quadratic twists by: -3 -23 |