Atkin-Lehner |
2- 5- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
123970ca |
Isogeny class |
Conductor |
123970 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
9.7669461776882E+20 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 11- 6 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7201335,7284034225] |
[a1,a2,a3,a4,a6] |
Generators |
[1020:-32135:1] |
Generators of the group modulo torsion |
j |
1023482447421286663/24203403125000 |
j-invariant |
L |
8.4193046628207 |
L(r)(E,1)/r! |
Ω |
0.15620810658985 |
Real period |
R |
0.56143751098208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999633626 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123970bh2 |
Quadratic twists by: -7 |