Atkin-Lehner |
11- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
109021f |
Isogeny class |
Conductor |
109021 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-3639839411030477149 = -1 · 116 · 173 · 535 |
Discriminant |
Eigenvalues |
1 0 3 1 11- -3 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-41828,91860313] |
[a1,a2,a3,a4,a6] |
j |
-4568511679857/2054594457109 |
j-invariant |
L |
3.2356447773856 |
L(r)(E,1)/r! |
Ω |
0.20222785874229 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
901d1 |
Quadratic twists by: -11 |