Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968bk |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-9525702431443968 = -1 · 210 · 37 · 74 · 116 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,51909,-1152646] |
[a1,a2,a3,a4,a6] |
Generators |
[169:3528:1] |
Generators of the group modulo torsion |
j |
11696828/7203 |
j-invariant |
L |
5.4682482201452 |
L(r)(E,1)/r! |
Ω |
0.23658248257938 |
Real period |
R |
1.4445935058033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999878223 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60984bh3 40656i3 1008g4 |
Quadratic twists by: -4 -3 -11 |