Atkin-Lehner |
2- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
57400p |
Isogeny class |
Conductor |
57400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-645772960000000 = -1 · 211 · 57 · 74 · 412 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 0 6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11408,-1313312] |
[a1,a2,a3,a4,a6] |
Generators |
[927:28028:1] |
Generators of the group modulo torsion |
j |
-5131452818/20180405 |
j-invariant |
L |
4.1903115858807 |
L(r)(E,1)/r! |
Ω |
0.21093388266584 |
Real period |
R |
4.9663803808655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994155 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114800p2 11480c2 |
Quadratic twists by: -4 5 |