Atkin-Lehner |
2- 5+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
45100c |
Isogeny class |
Conductor |
45100 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
30764401250000 = 24 · 57 · 114 · 412 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 11- 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-69033,6953188] |
[a1,a2,a3,a4,a6] |
Generators |
[192:-902:1] |
Generators of the group modulo torsion |
j |
145532582477824/123057605 |
j-invariant |
L |
2.9008889495711 |
L(r)(E,1)/r! |
Ω |
0.65548965321695 |
Real period |
R |
1.1063824330989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999376 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9020b1 |
Quadratic twists by: 5 |