Atkin-Lehner |
2- 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
105196c |
Isogeny class |
Conductor |
105196 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
29160 |
Modular degree for the optimal curve |
Δ |
-20618416 = -1 · 24 · 73 · 13 · 172 |
Discriminant |
Eigenvalues |
2- -2 1 7+ 4 13+ 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-385,-3048] |
[a1,a2,a3,a4,a6] |
j |
-1368408064/4459 |
j-invariant |
L |
1.616020773118 |
L(r)(E,1)/r! |
Ω |
0.53867358442007 |
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 |
105196l1 |
Quadratic twists by: 17 |