Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
43120ct |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
24999866608640000 = 213 · 54 · 79 · 112 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11- 6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7080320,-7249129600] |
[a1,a2,a3,a4,a6] |
Generators |
[73549590:-10772268254:3375] |
Generators of the group modulo torsion |
j |
237487154804983/151250 |
j-invariant |
L |
10.05592229829 |
L(r)(E,1)/r! |
Ω |
0.092552114333592 |
Real period |
R |
13.581432432268 |
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 |
5390bg2 43120by2 |
Quadratic twists by: -4 -7 |