Atkin-Lehner |
2- 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20286bz |
Isogeny class |
Conductor |
20286 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-248992085713392 = -1 · 24 · 36 · 79 · 232 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-94604,11249151] |
[a1,a2,a3,a4,a6] |
j |
-3183010111/8464 |
j-invariant |
L |
4.4495008282022 |
L(r)(E,1)/r! |
Ω |
0.55618760352527 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2254d1 20286cd1 |
Quadratic twists by: -3 -7 |