Atkin-Lehner |
2- 5- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
117800n |
Isogeny class |
Conductor |
117800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
62976 |
Modular degree for the optimal curve |
Δ |
-54433024000 = -1 · 211 · 53 · 193 · 31 |
Discriminant |
Eigenvalues |
2- 2 5- -1 0 -1 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,752,7692] |
[a1,a2,a3,a4,a6] |
Generators |
[-1938:2575:216] |
Generators of the group modulo torsion |
j |
183467702/212629 |
j-invariant |
L |
9.3205374973598 |
L(r)(E,1)/r! |
Ω |
0.74648226086499 |
Real period |
R |
6.242973191526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013197 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117800j1 |
Quadratic twists by: 5 |