Atkin-Lehner |
2- 3+ 5- 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
112140c |
Isogeny class |
Conductor |
112140 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
4.7524094484677E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 -4 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-207661887,1147031113734] |
[a1,a2,a3,a4,a6] |
Generators |
[10123:286750:1] |
Generators of the group modulo torsion |
j |
196545381284628064544112/943153960680640625 |
j-invariant |
L |
7.6658492366817 |
L(r)(E,1)/r! |
Ω |
0.077520185408279 |
Real period |
R |
5.4938015399489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999806484 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112140b2 |
Quadratic twists by: -3 |