Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42840s |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
728416916640000 = 28 · 38 · 54 · 74 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22503,-44998] |
[a1,a2,a3,a4,a6] |
Generators |
[-121:952:1] |
Generators of the group modulo torsion |
j |
6752700360016/3903125625 |
j-invariant |
L |
5.8836305907487 |
L(r)(E,1)/r! |
Ω |
0.42624477072133 |
Real period |
R |
1.7254260330271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999911 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
85680q2 14280bp2 |
Quadratic twists by: -4 -3 |