Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968cn |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-51823420075671552 = -1 · 219 · 39 · 73 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11- 5 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3740715,2784731994] |
[a1,a2,a3,a4,a6] |
Generators |
[1023:5346:1] |
Generators of the group modulo torsion |
j |
-4904170882875/43904 |
j-invariant |
L |
7.3838962570923 |
L(r)(E,1)/r! |
Ω |
0.32017537675329 |
Real period |
R |
1.921836381362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010243 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15246bb2 121968co1 121968da2 |
Quadratic twists by: -4 -3 -11 |