Atkin-Lehner |
2- 3+ 5+ 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
28290l |
Isogeny class |
Conductor |
28290 |
Conductor |
∏ cp |
39 |
Product of Tamagawa factors cp |
deg |
230880 |
Modular degree for the optimal curve |
Δ |
-121742054400000 = -1 · 213 · 3 · 55 · 23 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 6 6 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-74066,7745759] |
[a1,a2,a3,a4,a6] |
Generators |
[161:83:1] |
Generators of the group modulo torsion |
j |
-44934586658282891809/121742054400000 |
j-invariant |
L |
6.8492908086397 |
L(r)(E,1)/r! |
Ω |
0.59041919152897 |
Real period |
R |
0.29745449295503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84870q1 |
Quadratic twists by: -3 |