Atkin-Lehner |
2+ 5+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
50050p |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
39140664062500 = 22 · 510 · 72 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11+ 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13567,-525159] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:309:1] |
Generators of the group modulo torsion |
j |
17675559395649/2505002500 |
j-invariant |
L |
3.3986074055908 |
L(r)(E,1)/r! |
Ω |
0.44653415639585 |
Real period |
R |
1.9027701223288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000099 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10010m2 |
Quadratic twists by: 5 |