Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20286x |
Isogeny class |
Conductor |
20286 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6905470724975214 = 2 · 312 · 710 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-78872418,-269590189730] |
[a1,a2,a3,a4,a6] |
Generators |
[-89079656323:44453665514:17373979] |
Generators of the group modulo torsion |
j |
632678989847546725777/80515134 |
j-invariant |
L |
2.7598102176248 |
L(r)(E,1)/r! |
Ω |
0.050660359298558 |
Real period |
R |
13.619180044502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6762bb4 2898e4 |
Quadratic twists by: -3 -7 |