Atkin-Lehner |
2+ 3+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
43050h |
Isogeny class |
Conductor |
43050 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1908183420281250 = 2 · 32 · 56 · 74 · 414 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-45300,3039750] |
[a1,a2,a3,a4,a6] |
Generators |
[15:1530:1] |
Generators of the group modulo torsion |
j |
657980877056833/122123738898 |
j-invariant |
L |
2.855448165703 |
L(r)(E,1)/r! |
Ω |
0.44488745634347 |
Real period |
R |
0.40114754374806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999963 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129150da3 1722o3 |
Quadratic twists by: -3 5 |