Atkin-Lehner |
2- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
5168g |
Isogeny class |
Conductor |
5168 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
-82688 = -1 · 28 · 17 · 19 |
Discriminant |
Eigenvalues |
2- -1 -2 -4 -2 6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,11,-7] |
[a1,a2,a3,a4,a6] |
Generators |
[1:2:1] |
Generators of the group modulo torsion |
j |
524288/323 |
j-invariant |
L |
2.2236059071789 |
L(r)(E,1)/r! |
Ω |
1.9757056160476 |
Real period |
R |
0.56273715302467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1292a1 20672u1 46512bl1 129200ch1 |
Quadratic twists by: -4 8 -3 5 |