Atkin-Lehner |
2+ 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2496a |
Isogeny class |
Conductor |
2496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
237247315968 = 214 · 3 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 0 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2993,-57519] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:56:1] |
Generators of the group modulo torsion |
j |
181037698000/14480427 |
j-invariant |
L |
2.8807792798504 |
L(r)(E,1)/r! |
Ω |
0.6487231397265 |
Real period |
R |
2.2203457094693 |
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 |
2496ba4 156b4 7488k4 62400cz4 |
Quadratic twists by: -4 8 -3 5 |