Atkin-Lehner |
2- 3- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
12408g |
Isogeny class |
Conductor |
12408 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
Δ |
8.5895607518974E+19 |
Discriminant |
Eigenvalues |
2- 3- -4 -4 11+ 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3549760,-2536495216] |
[a1,a2,a3,a4,a6] |
Generators |
[-1024:5076:1] |
Generators of the group modulo torsion |
j |
4830819956736129020164/83882429217747963 |
j-invariant |
L |
3.309986197134 |
L(r)(E,1)/r! |
Ω |
0.1101050705334 |
Real period |
R |
1.3664576692306 |
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 |
24816d2 99264j2 37224k2 |
Quadratic twists by: -4 8 -3 |