Atkin-Lehner |
2- 3+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
2496x |
Isogeny class |
Conductor |
2496 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-19217032593408 = -1 · 214 · 35 · 136 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 -2 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2255,-207599] |
[a1,a2,a3,a4,a6] |
Generators |
[99:988:1] |
Generators of the group modulo torsion |
j |
77366117936/1172914587 |
j-invariant |
L |
2.1343964162927 |
L(r)(E,1)/r! |
Ω |
0.33554836909749 |
Real period |
R |
2.120306750443 |
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 |
2496p2 624e2 7488cc2 62400gd2 |
Quadratic twists by: -4 8 -3 5 |