Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966bx |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9.0281889756021E+24 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-192866035,-1020766101106] |
[a1,a2,a3,a4,a6] |
Generators |
[45592100007056657458141799579615723117023749225360174379044:-70239467877846688249089594663939153433053527061690307637611:2846159897386892476865506024111103649999521797064131553] |
Generators of the group modulo torsion |
j |
814544990575471/9268826496 |
j-invariant |
L |
7.5953398359469 |
L(r)(E,1)/r! |
Ω |
0.04054005094668 |
Real period |
R |
93.676989280756 |
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 |
84966z2 4998i2 |
Quadratic twists by: -7 17 |