Atkin-Lehner |
7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
112651m |
Isogeny class |
Conductor |
112651 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1827840 |
Modular degree for the optimal curve |
Δ |
-3122705608740989887 = -1 · 79 · 118 · 192 |
Discriminant |
Eigenvalues |
1 2 0 7- 11- -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,159960,-81309829] |
[a1,a2,a3,a4,a6] |
Generators |
[2710:26233:8] [143310:-10540427:27] |
Generators of the group modulo torsion |
j |
6331625/43681 |
j-invariant |
L |
18.662588403219 |
L(r)(E,1)/r! |
Ω |
0.12585560659267 |
Real period |
R |
37.071428334923 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112651i1 10241f1 |
Quadratic twists by: -7 -11 |