Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968cg |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
249945544848384 = 210 · 39 · 7 · 116 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4391211,-3541804310] |
[a1,a2,a3,a4,a6] |
j |
7080974546692/189 |
j-invariant |
L |
0.83434088962395 |
L(r)(E,1)/r! |
Ω |
0.1042925962679 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60984z4 40656bb4 1008e4 |
Quadratic twists by: -4 -3 -11 |