Atkin-Lehner |
2+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
40222l |
Isogeny class |
Conductor |
40222 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
9056425188223504 = 24 · 74 · 138 · 172 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- -4 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2440138,-1466516700] |
[a1,a2,a3,a4,a6] |
Generators |
[75072:3069022:27] |
Generators of the group modulo torsion |
j |
332894686333856193/1876275856 |
j-invariant |
L |
2.8352252497972 |
L(r)(E,1)/r! |
Ω |
0.12079420396514 |
Real period |
R |
5.8678834677638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3094e2 |
Quadratic twists by: 13 |