Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
121086bq |
Isogeny class |
Conductor |
121086 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
7741440 |
Modular degree for the optimal curve |
Δ |
-8.1549510596479E+21 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -3 1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,635521,4340252967] |
[a1,a2,a3,a4,a6] |
Generators |
[-643:-60222:1] |
Generators of the group modulo torsion |
j |
43874924183/12604443264 |
j-invariant |
L |
8.789721952844 |
L(r)(E,1)/r! |
Ω |
0.10158898654712 |
Real period |
R |
0.25750711293456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000050734 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40362j1 3906w1 |
Quadratic twists by: -3 -31 |