Atkin-Lehner |
2- 3- 5- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
116850ck |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-15774750 = -1 · 2 · 34 · 53 · 19 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 3 -1 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-73,-313] |
[a1,a2,a3,a4,a6] |
j |
-344472101/126198 |
j-invariant |
L |
6.4152628408023 |
L(r)(E,1)/r! |
Ω |
0.8019078838188 |
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 |
116850n1 |
Quadratic twists by: 5 |