Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20286ba |
Isogeny class |
Conductor |
20286 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
-5.9911923118441E+21 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -4 3 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4011327,2074146493] |
[a1,a2,a3,a4,a6] |
Generators |
[641:69740:1] |
Generators of the group modulo torsion |
j |
83228502970940543/69854999176704 |
j-invariant |
L |
4.5266648125373 |
L(r)(E,1)/r! |
Ω |
0.08713020913613 |
Real period |
R |
6.4941093012082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6762bd1 2898f1 |
Quadratic twists by: -3 -7 |