Atkin-Lehner |
2+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
40222l |
Isogeny class |
Conductor |
40222 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
209078058644 = 22 · 72 · 137 · 17 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- -4 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-39042158,-93886617200] |
[a1,a2,a3,a4,a6] |
Generators |
[277491:-20883893:27] |
Generators of the group modulo torsion |
j |
1363531101852339510273/43316 |
j-invariant |
L |
2.8352252497972 |
L(r)(E,1)/r! |
Ω |
0.060397101982569 |
Real period |
R |
11.735766935528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3094e3 |
Quadratic twists by: 13 |