Atkin-Lehner |
2- 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
10050bf |
Isogeny class |
Conductor |
10050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3067016601562500 = 22 · 3 · 518 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-115338,14829792] |
[a1,a2,a3,a4,a6] |
Generators |
[87248:437312:343] |
Generators of the group modulo torsion |
j |
10859783578981849/196289062500 |
j-invariant |
L |
8.0045449766718 |
L(r)(E,1)/r! |
Ω |
0.45021878730789 |
Real period |
R |
8.8896167844699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80400bz3 30150q3 2010a4 |
Quadratic twists by: -4 -3 5 |