Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2496k |
Isogeny class |
Conductor |
2496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
22461284352 = 218 · 3 · 134 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 -4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1249,14975] |
[a1,a2,a3,a4,a6] |
j |
822656953/85683 |
j-invariant |
L |
1.1691131702714 |
L(r)(E,1)/r! |
Ω |
1.1691131702714 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2496t3 39a3 7488p3 62400bf3 |
Quadratic twists by: -4 8 -3 5 |