Atkin-Lehner |
2- 3+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
85200bx |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4.2863905296E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4902008,4058566512] |
[a1,a2,a3,a4,a6] |
Generators |
[-123003:50930146:729] |
Generators of the group modulo torsion |
j |
203547547380881521/6697485202500 |
j-invariant |
L |
6.6499182151817 |
L(r)(E,1)/r! |
Ω |
0.16661306238418 |
Real period |
R |
9.9780865322856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995008 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10650g2 17040z2 |
Quadratic twists by: -4 5 |