Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800jm |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-88490233036800 = -1 · 219 · 39 · 52 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5940,-416880] |
[a1,a2,a3,a4,a6] |
Generators |
[69:567:1] |
Generators of the group modulo torsion |
j |
179685/686 |
j-invariant |
L |
7.1275565927303 |
L(r)(E,1)/r! |
Ω |
0.30686808381657 |
Real period |
R |
1.9355647613579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995526 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800b2 25200cv2 100800jl1 100800kb2 |
Quadratic twists by: -4 8 -3 5 |