Atkin-Lehner |
2- 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
20286bt |
Isogeny class |
Conductor |
20286 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-584590114283616 = -1 · 25 · 39 · 79 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -6 -5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4924289,4207174129] |
[a1,a2,a3,a4,a6] |
Generators |
[443:45740:1] [1129:8696:1] |
Generators of the group modulo torsion |
j |
-5702623460245179/252448 |
j-invariant |
L |
8.8743834505591 |
L(r)(E,1)/r! |
Ω |
0.38455067683607 |
Real period |
R |
0.57693198745442 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20286j1 2898m2 |
Quadratic twists by: -3 -7 |