Atkin-Lehner |
2+ 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
109120c |
Isogeny class |
Conductor |
109120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-1200320 = -1 · 26 · 5 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 3 5+ -2 11+ 2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-58,-178] |
[a1,a2,a3,a4,a6] |
Generators |
[20853:107063:729] |
Generators of the group modulo torsion |
j |
-337153536/18755 |
j-invariant |
L |
11.541914433008 |
L(r)(E,1)/r! |
Ω |
0.86220698367187 |
Real period |
R |
6.6932387886805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999818403 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109120j1 54560f1 |
Quadratic twists by: -4 8 |