Atkin-Lehner |
2+ 5- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
117800j |
Isogeny class |
Conductor |
117800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
314880 |
Modular degree for the optimal curve |
Δ |
-850516000000000 = -1 · 211 · 59 · 193 · 31 |
Discriminant |
Eigenvalues |
2+ -2 5- 1 0 1 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,18792,999088] |
[a1,a2,a3,a4,a6] |
j |
183467702/212629 |
j-invariant |
L |
0.66767388005651 |
L(r)(E,1)/r! |
Ω |
0.33383701585837 |
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 |
117800n1 |
Quadratic twists by: 5 |