Atkin-Lehner |
3- 7- 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
49959i |
Isogeny class |
Conductor |
49959 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
37376 |
Modular degree for the optimal curve |
Δ |
-52606827 = -1 · 36 · 7 · 132 · 61 |
Discriminant |
Eigenvalues |
-2 3- 2 7- -6 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1179,-15586] |
[a1,a2,a3,a4,a6] |
j |
-248620879872/72163 |
j-invariant |
L |
1.6294593736259 |
L(r)(E,1)/r! |
Ω |
0.40736484360819 |
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 |
5551b1 |
Quadratic twists by: -3 |