Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20286t |
Isogeny class |
Conductor |
20286 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-76190321088 = -1 · 26 · 38 · 73 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3852,-92016] |
[a1,a2,a3,a4,a6] |
Generators |
[135:1287:1] |
Generators of the group modulo torsion |
j |
-25282750375/304704 |
j-invariant |
L |
3.715867076092 |
L(r)(E,1)/r! |
Ω |
0.30278268095215 |
Real period |
R |
3.0680974423692 |
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 |
6762bk1 20286s1 |
Quadratic twists by: -3 -7 |