Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20286v |
Isogeny class |
Conductor |
20286 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-4179583328256 = -1 · 213 · 39 · 72 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 3 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-954,99252] |
[a1,a2,a3,a4,a6] |
Generators |
[3:309:1] |
Generators of the group modulo torsion |
j |
-2689684081/117006336 |
j-invariant |
L |
4.1471842793984 |
L(r)(E,1)/r! |
Ω |
0.64742385232942 |
Real period |
R |
0.80070889118407 |
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 |
6762bm1 20286o1 |
Quadratic twists by: -3 -7 |