Atkin-Lehner |
5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
51425s |
Isogeny class |
Conductor |
51425 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4999815712890625 = -1 · 510 · 116 · 172 |
Discriminant |
Eigenvalues |
1 -2 5+ -2 11- 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10651,3427323] |
[a1,a2,a3,a4,a6] |
Generators |
[107:1821:1] |
Generators of the group modulo torsion |
j |
-4826809/180625 |
j-invariant |
L |
3.3181163841095 |
L(r)(E,1)/r! |
Ω |
0.35947378240948 |
Real period |
R |
2.3076205738258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998589 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10285e2 425d2 |
Quadratic twists by: 5 -11 |