Atkin-Lehner |
3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
12789i |
Isogeny class |
Conductor |
12789 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
18035717017714767 = 312 · 79 · 292 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 0 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-66821,1582382] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:1549:1] |
Generators of the group modulo torsion |
j |
1121622319/613089 |
j-invariant |
L |
2.1526541956218 |
L(r)(E,1)/r! |
Ω |
0.33780318789088 |
Real period |
R |
1.5931275020391 |
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 |
4263f2 12789h2 |
Quadratic twists by: -3 -7 |