Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
121086bh |
Isogeny class |
Conductor |
121086 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
9285120 |
Modular degree for the optimal curve |
Δ |
-5.4158526074137E+22 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -4 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4518922,10567500293] |
[a1,a2,a3,a4,a6] |
Generators |
[721:-119525:1] |
Generators of the group modulo torsion |
j |
529475129/2809856 |
j-invariant |
L |
9.27988382366 |
L(r)(E,1)/r! |
Ω |
0.080687260339143 |
Real period |
R |
1.4744938417174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000089011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13454b1 121086bg1 |
Quadratic twists by: -3 -31 |