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 |
416993062500 = 22 · 34 · 56 · 72 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-43050,3420000] |
[a1,a2,a3,a4,a6] |
Generators |
[75:750:1] |
Generators of the group modulo torsion |
j |
564727473247393/26687556 |
j-invariant |
L |
2.855448165703 |
L(r)(E,1)/r! |
Ω |
0.88977491268695 |
Real period |
R |
0.80229508749612 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999963 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
129150da2 1722o2 |
Quadratic twists by: -3 5 |