Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968bn |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5658267244277716992 = 211 · 310 · 74 · 117 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41417211,102593328266] |
[a1,a2,a3,a4,a6] |
Generators |
[3865:-15876:1] |
Generators of the group modulo torsion |
j |
2970658109581346/2139291 |
j-invariant |
L |
3.8175820583797 |
L(r)(E,1)/r! |
Ω |
0.19939261665637 |
Real period |
R |
1.1966284567607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999786145 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60984cj4 40656k4 11088y3 |
Quadratic twists by: -4 -3 -11 |