Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2496j |
Isogeny class |
Conductor |
2496 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
29109824520192 = 222 · 35 · 134 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 4 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1327329,588151935] |
[a1,a2,a3,a4,a6] |
j |
986551739719628473/111045168 |
j-invariant |
L |
2.5640326976901 |
L(r)(E,1)/r! |
Ω |
0.51280653953803 |
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 |
2496u3 78a4 7488o3 62400bh4 |
Quadratic twists by: -4 8 -3 5 |