Atkin-Lehner |
2+ 3+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
85008m |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
-9.5111380506357E+24 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 11- 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,15930140,-146352917984] |
[a1,a2,a3,a4,a6] |
Generators |
[24616:3893736:1] |
Generators of the group modulo torsion |
j |
1746395072103743266080944/37152883010295708725223 |
j-invariant |
L |
4.41650685925 |
L(r)(E,1)/r! |
Ω |
0.035339873197795 |
Real period |
R |
4.463298077511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999827024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42504v2 |
Quadratic twists by: -4 |