Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
1050c |
Isogeny class |
Conductor |
1050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5627343750 = 2 · 3 · 58 · 74 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-48020000,-128100018750] |
[a1,a2,a3,a4,a6] |
j |
783736670177727068275201/360150 |
j-invariant |
L |
0.91762238030586 |
L(r)(E,1)/r! |
Ω |
0.057351398769116 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8400cc7 33600da8 3150bk7 210e7 |
Quadratic twists by: -4 8 -3 5 |