Atkin-Lehner |
2- 3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
78960cq |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
3072 |
Product of Tamagawa factors cp |
Δ |
9.9169357735641E+31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16985013536,704529590693364] |
[a1,a2,a3,a4,a6] |
Generators |
[387994:229178880:1] |
Generators of the group modulo torsion |
j |
132300491047214858019491996586529/24211268978427915927111475200 |
j-invariant |
L |
7.8889935334698 |
L(r)(E,1)/r! |
Ω |
0.018010584395784 |
Real period |
R |
2.2813534015663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002751 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9870m3 |
Quadratic twists by: -4 |