Atkin-Lehner |
2- 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
106090l |
Isogeny class |
Conductor |
106090 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5870176 |
Modular degree for the optimal curve |
Δ |
-1.3047731838292E+20 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 2 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-159356,-550131764] |
[a1,a2,a3,a4,a6] |
Generators |
[47641074651837596:460362100172824242:51649247988521] |
Generators of the group modulo torsion |
j |
-343/100 |
j-invariant |
L |
4.5074896686301 |
L(r)(E,1)/r! |
Ω |
0.082791102019299 |
Real period |
R |
27.222065877103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004915 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106090r1 |
Quadratic twists by: -103 |