Atkin-Lehner |
2- 3- 5+ 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
42330be |
Isogeny class |
Conductor |
42330 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-274298400 = -1 · 25 · 35 · 52 · 17 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -5 3 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1276,17456] |
[a1,a2,a3,a4,a6] |
Generators |
[26:-58:1] |
Generators of the group modulo torsion |
j |
-229771948621249/274298400 |
j-invariant |
L |
9.6387167095282 |
L(r)(E,1)/r! |
Ω |
1.7338648772591 |
Real period |
R |
0.11118186700646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126990bg1 |
Quadratic twists by: -3 |