Atkin-Lehner |
3- 11- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
117249m |
Isogeny class |
Conductor |
117249 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-85474521 = -1 · 37 · 112 · 17 · 19 |
Discriminant |
Eigenvalues |
1 3- -3 3 11- 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-80,515] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:28:1] |
Generators of the group modulo torsion |
j |
-459601153/706401 |
j-invariant |
L |
8.8053578019713 |
L(r)(E,1)/r! |
Ω |
1.7211371816282 |
Real period |
R |
0.73085880123227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000822 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117249bf1 |
Quadratic twists by: -11 |