Atkin-Lehner |
3+ 11- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
117249g |
Isogeny class |
Conductor |
117249 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
289440 |
Modular degree for the optimal curve |
Δ |
-560798332281 = -1 · 315 · 112 · 17 · 19 |
Discriminant |
Eigenvalues |
1 3+ -2 1 11- -6 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-32716,2264365] |
[a1,a2,a3,a4,a6] |
Generators |
[108:19:1] |
Generators of the group modulo torsion |
j |
-32006610286078417/4634696961 |
j-invariant |
L |
3.1060523023407 |
L(r)(E,1)/r! |
Ω |
0.88971162102598 |
Real period |
R |
3.4910775748274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000045439 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117249c1 |
Quadratic twists by: -11 |