Atkin-Lehner |
2- 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
20286br |
Isogeny class |
Conductor |
20286 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-12415280848362 = -1 · 2 · 39 · 72 · 235 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -3 -2 -1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5776,12205] |
[a1,a2,a3,a4,a6] |
j |
22099801941/12872686 |
j-invariant |
L |
4.29677734688 |
L(r)(E,1)/r! |
Ω |
0.429677734688 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20286h1 20286bj1 |
Quadratic twists by: -3 -7 |