Atkin-Lehner |
2- 5+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10010m |
Isogeny class |
Conductor |
10010 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-268236718750 = -1 · 2 · 58 · 74 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11+ 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,887,-22969] |
[a1,a2,a3,a4,a6] |
j |
77259787831071/268236718750 |
j-invariant |
L |
1.9969614559533 |
L(r)(E,1)/r! |
Ω |
0.49924036398832 |
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 |
80080bc3 90090bp3 50050p3 70070ce3 |
Quadratic twists by: -4 -3 5 -7 |