Atkin-Lehner |
2+ 3- 5+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
93450bf |
Isogeny class |
Conductor |
93450 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
Δ |
-3.1300828293381E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1763626,1239703148] |
[a1,a2,a3,a4,a6] |
Generators |
[-1463:26981:1] [721:-18883:1] |
Generators of the group modulo torsion |
j |
-38826014312377691281/20032530107763600 |
j-invariant |
L |
10.129075741951 |
L(r)(E,1)/r! |
Ω |
0.16013756713171 |
Real period |
R |
0.37650202007238 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995107 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18690k2 |
Quadratic twists by: 5 |