Atkin-Lehner |
2+ 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
62496i |
Isogeny class |
Conductor |
62496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2510839296 = 29 · 36 · 7 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-579,4790] |
[a1,a2,a3,a4,a6] |
j |
57512456/6727 |
j-invariant |
L |
2.7967661613244 |
L(r)(E,1)/r! |
Ω |
1.3983830825884 |
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 |
62496bz2 124992bl2 6944f2 |
Quadratic twists by: -4 8 -3 |