Atkin-Lehner |
2- 3- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
12834s |
Isogeny class |
Conductor |
12834 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
Δ |
3398348135492517888 = 215 · 36 · 236 · 312 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 0 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1643585,806575313] |
[a1,a2,a3,a4,a6] |
Generators |
[-1289:28612:1] |
Generators of the group modulo torsion |
j |
673554036733995111625/4661657250332672 |
j-invariant |
L |
6.1643925686103 |
L(r)(E,1)/r! |
Ω |
0.25212445027978 |
Real period |
R |
2.4449800730432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
102672be4 1426b4 |
Quadratic twists by: -4 -3 |