Atkin-Lehner |
2- 3+ 5- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
117150bu |
Isogeny class |
Conductor |
117150 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
147840 |
Modular degree for the optimal curve |
Δ |
-98968320000 = -1 · 211 · 32 · 54 · 112 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11- -1 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1838,33131] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:187:1] [65:-473:1] |
Generators of the group modulo torsion |
j |
-1098740122225/158349312 |
j-invariant |
L |
14.465821193819 |
L(r)(E,1)/r! |
Ω |
1.0296332458937 |
Real period |
R |
0.1064355244251 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000586 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117150x1 |
Quadratic twists by: 5 |