Atkin-Lehner |
2+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127160h |
Isogeny class |
Conductor |
127160 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
7962624 |
Modular degree for the optimal curve |
Δ |
-4.444787455469E+20 |
Discriminant |
Eigenvalues |
2+ -3 5- 2 11- -3 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47107,1014347806] |
[a1,a2,a3,a4,a6] |
Generators |
[102:31790:1] |
Generators of the group modulo torsion |
j |
-233860338/8991404125 |
j-invariant |
L |
5.3471636975311 |
L(r)(E,1)/r! |
Ω |
0.13334209680555 |
Real period |
R |
1.6708788178676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000103891 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7480a1 |
Quadratic twists by: 17 |