Atkin-Lehner |
11- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
63767c |
Isogeny class |
Conductor |
63767 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
10269739117 = 117 · 17 · 31 |
Discriminant |
Eigenvalues |
0 1 -4 3 11- -6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-645,3790] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:60:1] |
Generators of the group modulo torsion |
j |
16777216/5797 |
j-invariant |
L |
3.3038768570624 |
L(r)(E,1)/r! |
Ω |
1.1819285474986 |
Real period |
R |
0.69883176609228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000269 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5797a1 |
Quadratic twists by: -11 |