Atkin-Lehner |
2- 3+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
2496w |
Isogeny class |
Conductor |
2496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-8306688 = -1 · 214 · 3 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 -2 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,47,49] |
[a1,a2,a3,a4,a6] |
Generators |
[0:7:1] |
Generators of the group modulo torsion |
j |
686000/507 |
j-invariant |
L |
2.9976693923003 |
L(r)(E,1)/r! |
Ω |
1.4848728826473 |
Real period |
R |
2.0188053989888 |
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 |
2496m2 624d2 7488by2 62400gt2 |
Quadratic twists by: -4 8 -3 5 |