Atkin-Lehner |
2- 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
12054x |
Isogeny class |
Conductor |
12054 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
407006480202 = 2 · 3 · 79 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10683,419439] |
[a1,a2,a3,a4,a6] |
Generators |
[4308:4535:64] |
Generators of the group modulo torsion |
j |
3341362375/10086 |
j-invariant |
L |
6.1300484709521 |
L(r)(E,1)/r! |
Ω |
0.94998981877262 |
Real period |
R |
6.4527517556684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96432ch2 36162y2 12054bj2 |
Quadratic twists by: -4 -3 -7 |