Atkin-Lehner |
2- 7+ 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
116144p |
Isogeny class |
Conductor |
116144 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-33565616 = -1 · 24 · 7 · 173 · 61 |
Discriminant |
Eigenvalues |
2- -1 -3 7+ -3 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,63,-224] |
[a1,a2,a3,a4,a6] |
Generators |
[12:46:1] [16:68:1] |
Generators of the group modulo torsion |
j |
1701036032/2097851 |
j-invariant |
L |
6.5450543209483 |
L(r)(E,1)/r! |
Ω |
1.1101990492516 |
Real period |
R |
1.9651293830161 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000444 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29036i1 |
Quadratic twists by: -4 |