Atkin-Lehner |
2+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
8050c |
Isogeny class |
Conductor |
8050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
30388828613281250 = 2 · 512 · 76 · 232 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ -6 4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4170775,-3280213125] |
[a1,a2,a3,a4,a6] |
Generators |
[-49594666631325:29074693579850:42035292333] |
Generators of the group modulo torsion |
j |
513516182162686336369/1944885031250 |
j-invariant |
L |
4.1006765553099 |
L(r)(E,1)/r! |
Ω |
0.10564414907808 |
Real period |
R |
19.40796812268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64400ca4 72450ea4 1610e4 56350i4 |
Quadratic twists by: -4 -3 5 -7 |