Atkin-Lehner |
2- 11- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
78166k |
Isogeny class |
Conductor |
78166 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-85044608 = -1 · 27 · 112 · 172 · 19 |
Discriminant |
Eigenvalues |
2- 1 -4 -1 11- -6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,25,-439] |
[a1,a2,a3,a4,a6] |
Generators |
[8:13:1] [14:45:1] |
Generators of the group modulo torsion |
j |
14245319/702848 |
j-invariant |
L |
13.775844930169 |
L(r)(E,1)/r! |
Ω |
0.91827004755478 |
Real period |
R |
1.0715681364242 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999086 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78166d1 |
Quadratic twists by: -11 |