Atkin-Lehner |
3+ 5- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
105105bb |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-1059512977558035 = -1 · 32 · 5 · 78 · 11 · 135 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 11+ 13- -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-981045,-373684984] |
[a1,a2,a3,a4,a6] |
j |
-887570176172621824/9005711715 |
j-invariant |
L |
1.5169696883044 |
L(r)(E,1)/r! |
Ω |
0.075848505077827 |
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 |
15015j1 |
Quadratic twists by: -7 |