Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24336bs |
Isogeny class |
Conductor |
24336 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.0452881318912E+25 |
Discriminant |
Eigenvalues |
2- 3- 2 4 4 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-56934579,-56081689742] |
[a1,a2,a3,a4,a6] |
Generators |
[-1674101:154874304:1331] |
Generators of the group modulo torsion |
j |
1416134368422073/725251155408 |
j-invariant |
L |
7.4019032324396 |
L(r)(E,1)/r! |
Ω |
0.058063906767807 |
Real period |
R |
7.9674100104468 |
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 |
3042d4 97344fn3 8112bg4 1872r3 |
Quadratic twists by: -4 8 -3 13 |