Atkin-Lehner |
2- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56672v |
Isogeny class |
Conductor |
56672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3219982819192832 = 212 · 710 · 112 · 23 |
Discriminant |
Eigenvalues |
2- -2 -4 7+ 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-246625,-47144721] |
[a1,a2,a3,a4,a6] |
Generators |
[-34855:18392:125] |
Generators of the group modulo torsion |
j |
405020326932813376/786128617967 |
j-invariant |
L |
2.6471798427111 |
L(r)(E,1)/r! |
Ω |
0.21425983816222 |
Real period |
R |
6.1774989320315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994804 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56672o2 113344e1 |
Quadratic twists by: -4 8 |