Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
490a |
Isogeny class |
Conductor |
490 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-46118408000 = -1 · 26 · 53 · 78 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ -6 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1594,-26708] |
[a1,a2,a3,a4,a6] |
Generators |
[53:169:1] |
Generators of the group modulo torsion |
j |
-77626969/8000 |
j-invariant |
L |
1.5859684246354 |
L(r)(E,1)/r! |
Ω |
0.37562498884967 |
Real period |
R |
0.70370203958491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3920p2 15680bg2 4410bj2 2450s2 |
Quadratic twists by: -4 8 -3 5 |