Atkin-Lehner |
2- 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
20286bo |
Isogeny class |
Conductor |
20286 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
508032 |
Modular degree for the optimal curve |
Δ |
-2095170969592479744 = -1 · 214 · 39 · 710 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 0 -5 -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-846803,-307698317] |
[a1,a2,a3,a4,a6] |
j |
-12078102267/376832 |
j-invariant |
L |
2.1993008395301 |
L(r)(E,1)/r! |
Ω |
0.078546458554649 |
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 |
20286e1 20286bh1 |
Quadratic twists by: -3 -7 |