Atkin-Lehner |
2+ 5- 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
57950x |
Isogeny class |
Conductor |
57950 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
-3.9027105876608E+21 |
Discriminant |
Eigenvalues |
2+ 1 5- -3 2 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20103826,34823216548] |
[a1,a2,a3,a4,a6] |
Generators |
[2126:40081:1] |
Generators of the group modulo torsion |
j |
-2300381131131232559545/9990939104411648 |
j-invariant |
L |
3.9172064937805 |
L(r)(E,1)/r! |
Ω |
0.1401066173353 |
Real period |
R |
2.795875432544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000854 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57950be1 |
Quadratic twists by: 5 |