Atkin-Lehner |
2+ 3+ 5+ 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
40470k |
Isogeny class |
Conductor |
40470 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1091880600 = 23 · 3 · 52 · 192 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -2 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-268,472] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:52:1] |
Generators of the group modulo torsion |
j |
2141202151369/1091880600 |
j-invariant |
L |
2.1421367816912 |
L(r)(E,1)/r! |
Ω |
1.3684661030516 |
Real period |
R |
0.78267805717468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121410bk2 |
Quadratic twists by: -3 |