Atkin-Lehner |
2+ 3+ 17+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
108936a |
Isogeny class |
Conductor |
108936 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
116224 |
Modular degree for the optimal curve |
Δ |
-51379446528 = -1 · 28 · 33 · 174 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 -6 4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,804,-6476] |
[a1,a2,a3,a4,a6] |
Generators |
[66:578:1] |
Generators of the group modulo torsion |
j |
8315495424/7433369 |
j-invariant |
L |
7.0234427998107 |
L(r)(E,1)/r! |
Ω |
0.61767650841539 |
Real period |
R |
0.71067164004554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999484014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108936m1 |
Quadratic twists by: -3 |